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Finding the Fourth Proportional to 530.88, 737.66 and 525.17

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Solution

The fourth proportional to 530.88, 737.66 and 525.17 is: 729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.88 : 737.66 = 525.17 : x
  2. Step 2: Convert to fraction form
    530.88/737.66 = 525.17/x
  3. Step 3: Cross multiply
    530.88x = 737.66 × 525.17
  4. Step 4: Simplify right side
    530.88x = 387,400.06
  5. Step 5: Solve for x
    x = 387,400.06/530.88
  6. Step 6: Final answer
    x = 729.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.