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Finding the Fourth Proportional to 1,291.78, 1,937.88 and 402.10

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Solution

The fourth proportional to 1,291.78, 1,937.88 and 402.10 is: 603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.78 : 1,937.88 = 402.10 : x
  2. Step 2: Convert to fraction form
    1,291.78/1,937.88 = 402.10/x
  3. Step 3: Cross multiply
    1,291.78x = 1,937.88 × 402.10
  4. Step 4: Simplify right side
    1,291.78x = 779,211.86
  5. Step 5: Solve for x
    x = 779,211.86/1,291.78
  6. Step 6: Final answer
    x = 603.21

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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.