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Finding the Fourth Proportional to 830.19, 1,145.74 and 457.25

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Solution

The fourth proportional to 830.19, 1,145.74 and 457.25 is: 631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.19 : 1,145.74 = 457.25 : x
  2. Step 2: Convert to fraction form
    830.19/1,145.74 = 457.25/x
  3. Step 3: Cross multiply
    830.19x = 1,145.74 × 457.25
  4. Step 4: Simplify right side
    830.19x = 523,882.74
  5. Step 5: Solve for x
    x = 523,882.74/830.19
  6. Step 6: Final answer
    x = 631.04

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.