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Finding the Fourth Proportional to 1,656.40, 2,484.62 and 502.16

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Solution

The fourth proportional to 1,656.40, 2,484.62 and 502.16 is: 753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.40 : 2,484.62 = 502.16 : x
  2. Step 2: Convert to fraction form
    1,656.40/2,484.62 = 502.16/x
  3. Step 3: Cross multiply
    1,656.40x = 2,484.62 × 502.16
  4. Step 4: Simplify right side
    1,656.40x = 1,247,676.78
  5. Step 5: Solve for x
    x = 1,247,676.78/1,656.40
  6. Step 6: Final answer
    x = 753.25

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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.