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Finding the Fourth Proportional to 1,110.29, 1,665.43 and 525.10

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Solution

The fourth proportional to 1,110.29, 1,665.43 and 525.10 is: 787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.29 : 1,665.43 = 525.10 : x
  2. Step 2: Convert to fraction form
    1,110.29/1,665.43 = 525.10/x
  3. Step 3: Cross multiply
    1,110.29x = 1,665.43 × 525.10
  4. Step 4: Simplify right side
    1,110.29x = 874,517.29
  5. Step 5: Solve for x
    x = 874,517.29/1,110.29
  6. Step 6: Final answer
    x = 787.65

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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.