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Finding the Fourth Proportional to 973.49, 1,461.15 and 511.61

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Solution

The fourth proportional to 973.49, 1,461.15 and 511.61 is: 767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.49 : 1,461.15 = 511.61 : x
  2. Step 2: Convert to fraction form
    973.49/1,461.15 = 511.61/x
  3. Step 3: Cross multiply
    973.49x = 1,461.15 × 511.61
  4. Step 4: Simplify right side
    973.49x = 747,531.65
  5. Step 5: Solve for x
    x = 747,531.65/973.49
  6. Step 6: Final answer
    x = 767.89

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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.