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Finding the Fourth Proportional to 895.29, 1,337.73 and 647.31

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Solution

The fourth proportional to 895.29, 1,337.73 and 647.31 is: 967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.29 : 1,337.73 = 647.31 : x
  2. Step 2: Convert to fraction form
    895.29/1,337.73 = 647.31/x
  3. Step 3: Cross multiply
    895.29x = 1,337.73 × 647.31
  4. Step 4: Simplify right side
    895.29x = 865,926.01
  5. Step 5: Solve for x
    x = 865,926.01/895.29
  6. Step 6: Final answer
    x = 967.21

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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.