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Finding the Fourth Proportional to 560.68, 772.46 and 434.21

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Solution

The fourth proportional to 560.68, 772.46 and 434.21 is: 598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.68 : 772.46 = 434.21 : x
  2. Step 2: Convert to fraction form
    560.68/772.46 = 434.21/x
  3. Step 3: Cross multiply
    560.68x = 772.46 × 434.21
  4. Step 4: Simplify right side
    560.68x = 335,409.86
  5. Step 5: Solve for x
    x = 335,409.86/560.68
  6. Step 6: Final answer
    x = 598.22

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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.