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Finding the Fourth Proportional to 560.20, 838.38 and 432.20

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Solution

The fourth proportional to 560.20, 838.38 and 432.20 is: 646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.20 : 838.38 = 432.20 : x
  2. Step 2: Convert to fraction form
    560.20/838.38 = 432.20/x
  3. Step 3: Cross multiply
    560.20x = 838.38 × 432.20
  4. Step 4: Simplify right side
    560.20x = 362,347.84
  5. Step 5: Solve for x
    x = 362,347.84/560.20
  6. Step 6: Final answer
    x = 646.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.