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Finding the Fourth Proportional to 951.74, 1,313.50 and 578.82

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Solution

The fourth proportional to 951.74, 1,313.50 and 578.82 is: 798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.74 : 1,313.50 = 578.82 : x
  2. Step 2: Convert to fraction form
    951.74/1,313.50 = 578.82/x
  3. Step 3: Cross multiply
    951.74x = 1,313.50 × 578.82
  4. Step 4: Simplify right side
    951.74x = 760,280.07
  5. Step 5: Solve for x
    x = 760,280.07/951.74
  6. Step 6: Final answer
    x = 798.83

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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.