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Finding the Fourth Proportional to 693.80, 1,034.68 and 591.74

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Solution

The fourth proportional to 693.80, 1,034.68 and 591.74 is: 882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.80 : 1,034.68 = 591.74 : x
  2. Step 2: Convert to fraction form
    693.80/1,034.68 = 591.74/x
  3. Step 3: Cross multiply
    693.80x = 1,034.68 × 591.74
  4. Step 4: Simplify right side
    693.80x = 612,253.41
  5. Step 5: Solve for x
    x = 612,253.41/693.80
  6. Step 6: Final answer
    x = 882.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.