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Finding the Fourth Proportional to 895.78, 1,337.05 and 781.21

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Solution

The fourth proportional to 895.78, 1,337.05 and 781.21 is: 1,166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.78 : 1,337.05 = 781.21 : x
  2. Step 2: Convert to fraction form
    895.78/1,337.05 = 781.21/x
  3. Step 3: Cross multiply
    895.78x = 1,337.05 × 781.21
  4. Step 4: Simplify right side
    895.78x = 1,044,516.83
  5. Step 5: Solve for x
    x = 1,044,516.83/895.78
  6. Step 6: Final answer
    x = 1,166.04

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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.