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Finding the Fourth Proportional to 1,024.63, 1,529.08 and 915.28

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Solution

The fourth proportional to 1,024.63, 1,529.08 and 915.28 is: 1,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.63 : 1,529.08 = 915.28 : x
  2. Step 2: Convert to fraction form
    1,024.63/1,529.08 = 915.28/x
  3. Step 3: Cross multiply
    1,024.63x = 1,529.08 × 915.28
  4. Step 4: Simplify right side
    1,024.63x = 1,399,536.34
  5. Step 5: Solve for x
    x = 1,399,536.34/1,024.63
  6. Step 6: Final answer
    x = 1,365.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.