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Finding the Fourth Proportional to 897.50, 1,345.23 and 457.51

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Solution

The fourth proportional to 897.50, 1,345.23 and 457.51 is: 685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.50 : 1,345.23 = 457.51 : x
  2. Step 2: Convert to fraction form
    897.50/1,345.23 = 457.51/x
  3. Step 3: Cross multiply
    897.50x = 1,345.23 × 457.51
  4. Step 4: Simplify right side
    897.50x = 615,456.14
  5. Step 5: Solve for x
    x = 615,456.14/897.50
  6. Step 6: Final answer
    x = 685.75

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.