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Finding the Fourth Proportional to 562.21, 773.45 and 430.99

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Solution

The fourth proportional to 562.21, 773.45 and 430.99 is: 592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.21 : 773.45 = 430.99 : x
  2. Step 2: Convert to fraction form
    562.21/773.45 = 430.99/x
  3. Step 3: Cross multiply
    562.21x = 773.45 × 430.99
  4. Step 4: Simplify right side
    562.21x = 333,346.74
  5. Step 5: Solve for x
    x = 333,346.74/562.21
  6. Step 6: Final answer
    x = 592.92

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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.