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Finding the Fourth Proportional to 889.66, 1,332.62 and 715.38

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Solution

The fourth proportional to 889.66, 1,332.62 and 715.38 is: 1,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.66 : 1,332.62 = 715.38 : x
  2. Step 2: Convert to fraction form
    889.66/1,332.62 = 715.38/x
  3. Step 3: Cross multiply
    889.66x = 1,332.62 × 715.38
  4. Step 4: Simplify right side
    889.66x = 953,329.70
  5. Step 5: Solve for x
    x = 953,329.70/889.66
  6. Step 6: Final answer
    x = 1,071.57

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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.