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Finding the Fourth Proportional to 1,301.66, 1,951.40 and 521.18

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Solution

The fourth proportional to 1,301.66, 1,951.40 and 521.18 is: 781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.66 : 1,951.40 = 521.18 : x
  2. Step 2: Convert to fraction form
    1,301.66/1,951.40 = 521.18/x
  3. Step 3: Cross multiply
    1,301.66x = 1,951.40 × 521.18
  4. Step 4: Simplify right side
    1,301.66x = 1,017,018.29
  5. Step 5: Solve for x
    x = 1,017,018.29/1,301.66
  6. Step 6: Final answer
    x = 781.33

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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.