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Finding the Fourth Proportional to 562.64, 840.72 and 430.13

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Solution

The fourth proportional to 562.64, 840.72 and 430.13 is: 642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.64 : 840.72 = 430.13 : x
  2. Step 2: Convert to fraction form
    562.64/840.72 = 430.13/x
  3. Step 3: Cross multiply
    562.64x = 840.72 × 430.13
  4. Step 4: Simplify right side
    562.64x = 361,618.89
  5. Step 5: Solve for x
    x = 361,618.89/562.64
  6. Step 6: Final answer
    x = 642.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.