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Finding the Fourth Proportional to 973.47, 1,461.82 and 640.47

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Solution

The fourth proportional to 973.47, 1,461.82 and 640.47 is: 961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.47 : 1,461.82 = 640.47 : x
  2. Step 2: Convert to fraction form
    973.47/1,461.82 = 640.47/x
  3. Step 3: Cross multiply
    973.47x = 1,461.82 × 640.47
  4. Step 4: Simplify right side
    973.47x = 936,251.86
  5. Step 5: Solve for x
    x = 936,251.86/973.47
  6. Step 6: Final answer
    x = 961.77

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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.