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Finding the Fourth Proportional to 500.16, 749.76 and 486.40

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Solution

The fourth proportional to 500.16, 749.76 and 486.40 is: 729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.16 : 749.76 = 486.40 : x
  2. Step 2: Convert to fraction form
    500.16/749.76 = 486.40/x
  3. Step 3: Cross multiply
    500.16x = 749.76 × 486.40
  4. Step 4: Simplify right side
    500.16x = 364,683.26
  5. Step 5: Solve for x
    x = 364,683.26/500.16
  6. Step 6: Final answer
    x = 729.13

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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.