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Finding the Fourth Proportional to 1,038.28, 1,432.90 and 665.24

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Solution

The fourth proportional to 1,038.28, 1,432.90 and 665.24 is: 918.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.28 : 1,432.90 = 665.24 : x
  2. Step 2: Convert to fraction form
    1,038.28/1,432.90 = 665.24/x
  3. Step 3: Cross multiply
    1,038.28x = 1,432.90 × 665.24
  4. Step 4: Simplify right side
    1,038.28x = 953,222.40
  5. Step 5: Solve for x
    x = 953,222.40/1,038.28
  6. Step 6: Final answer
    x = 918.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.