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Finding the Fourth Proportional to 549.87, 759.77 and 530.17

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Solution

The fourth proportional to 549.87, 759.77 and 530.17 is: 732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.87 : 759.77 = 530.17 : x
  2. Step 2: Convert to fraction form
    549.87/759.77 = 530.17/x
  3. Step 3: Cross multiply
    549.87x = 759.77 × 530.17
  4. Step 4: Simplify right side
    549.87x = 402,806.69
  5. Step 5: Solve for x
    x = 402,806.69/549.87
  6. Step 6: Final answer
    x = 732.55

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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.