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Finding the Fourth Proportional to 560.62, 839.71 and 530.29

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Solution

The fourth proportional to 560.62, 839.71 and 530.29 is: 794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.62 : 839.71 = 530.29 : x
  2. Step 2: Convert to fraction form
    560.62/839.71 = 530.29/x
  3. Step 3: Cross multiply
    560.62x = 839.71 × 530.29
  4. Step 4: Simplify right side
    560.62x = 445,287.16
  5. Step 5: Solve for x
    x = 445,287.16/560.62
  6. Step 6: Final answer
    x = 794.28

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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.