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Finding the Fourth Proportional to 1,038.47, 1,557.71 and 268.97

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Solution

The fourth proportional to 1,038.47, 1,557.71 and 268.97 is: 403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.47 : 1,557.71 = 268.97 : x
  2. Step 2: Convert to fraction form
    1,038.47/1,557.71 = 268.97/x
  3. Step 3: Cross multiply
    1,038.47x = 1,557.71 × 268.97
  4. Step 4: Simplify right side
    1,038.47x = 418,968.13
  5. Step 5: Solve for x
    x = 418,968.13/1,038.47
  6. Step 6: Final answer
    x = 403.45

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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.