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Finding the Fourth Proportional to 1,304.70, 1,956.27 and 525.06

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Solution

The fourth proportional to 1,304.70, 1,956.27 and 525.06 is: 787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.70 : 1,956.27 = 525.06 : x
  2. Step 2: Convert to fraction form
    1,304.70/1,956.27 = 525.06/x
  3. Step 3: Cross multiply
    1,304.70x = 1,956.27 × 525.06
  4. Step 4: Simplify right side
    1,304.70x = 1,027,159.13
  5. Step 5: Solve for x
    x = 1,027,159.13/1,304.70
  6. Step 6: Final answer
    x = 787.28

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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.