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Finding the Fourth Proportional to 1,656.25, 2,484.78 and 502

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Solution

The fourth proportional to 1,656.25, 2,484.78 and 502 is: 753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.25 : 2,484.78 = 502 : x
  2. Step 2: Convert to fraction form
    1,656.25/2,484.78 = 502/x
  3. Step 3: Cross multiply
    1,656.25x = 2,484.78 × 502
  4. Step 4: Simplify right side
    1,656.25x = 1,247,359.56
  5. Step 5: Solve for x
    x = 1,247,359.56/1,656.25
  6. Step 6: Final answer
    x = 753.12

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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.