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Finding the Fourth Proportional to 913.65, 1,262.54 and 747.80

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Solution

The fourth proportional to 913.65, 1,262.54 and 747.80 is: 1,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.65 : 1,262.54 = 747.80 : x
  2. Step 2: Convert to fraction form
    913.65/1,262.54 = 747.80/x
  3. Step 3: Cross multiply
    913.65x = 1,262.54 × 747.80
  4. Step 4: Simplify right side
    913.65x = 944,127.41
  5. Step 5: Solve for x
    x = 944,127.41/913.65
  6. Step 6: Final answer
    x = 1,033.36

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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.