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Finding the Fourth Proportional to 560.90, 773.26 and 429.68

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Solution

The fourth proportional to 560.90, 773.26 and 429.68 is: 592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.90 : 773.26 = 429.68 : x
  2. Step 2: Convert to fraction form
    560.90/773.26 = 429.68/x
  3. Step 3: Cross multiply
    560.90x = 773.26 × 429.68
  4. Step 4: Simplify right side
    560.90x = 332,254.36
  5. Step 5: Solve for x
    x = 332,254.36/560.90
  6. Step 6: Final answer
    x = 592.36

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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.