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Finding the Fourth Proportional to 1,038.47, 1,433.07 and 566.38

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Solution

The fourth proportional to 1,038.47, 1,433.07 and 566.38 is: 781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.47 : 1,433.07 = 566.38 : x
  2. Step 2: Convert to fraction form
    1,038.47/1,433.07 = 566.38/x
  3. Step 3: Cross multiply
    1,038.47x = 1,433.07 × 566.38
  4. Step 4: Simplify right side
    1,038.47x = 811,662.19
  5. Step 5: Solve for x
    x = 811,662.19/1,038.47
  6. Step 6: Final answer
    x = 781.59

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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.