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Finding the Fourth Proportional to 894.80, 1,342.20 and 457.40

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Solution

The fourth proportional to 894.80, 1,342.20 and 457.40 is: 686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.80 : 1,342.20 = 457.40 : x
  2. Step 2: Convert to fraction form
    894.80/1,342.20 = 457.40/x
  3. Step 3: Cross multiply
    894.80x = 1,342.20 × 457.40
  4. Step 4: Simplify right side
    894.80x = 613,922.28
  5. Step 5: Solve for x
    x = 613,922.28/894.80
  6. Step 6: Final answer
    x = 686.10

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Double scale
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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.