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Finding the Fourth Proportional to 1,021.59, 1,529.69 and 876.29

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Solution

The fourth proportional to 1,021.59, 1,529.69 and 876.29 is: 1,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.59 : 1,529.69 = 876.29 : x
  2. Step 2: Convert to fraction form
    1,021.59/1,529.69 = 876.29/x
  3. Step 3: Cross multiply
    1,021.59x = 1,529.69 × 876.29
  4. Step 4: Simplify right side
    1,021.59x = 1,340,440.02
  5. Step 5: Solve for x
    x = 1,340,440.02/1,021.59
  6. Step 6: Final answer
    x = 1,312.11

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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.