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Finding the Fourth Proportional to 761.68, 1,141.24 and 530

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Solution

The fourth proportional to 761.68, 1,141.24 and 530 is: 794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.68 : 1,141.24 = 530 : x
  2. Step 2: Convert to fraction form
    761.68/1,141.24 = 530/x
  3. Step 3: Cross multiply
    761.68x = 1,141.24 × 530
  4. Step 4: Simplify right side
    761.68x = 604,857.20
  5. Step 5: Solve for x
    x = 604,857.20/761.68
  6. Step 6: Final answer
    x = 794.11

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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.