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Finding the Fourth Proportional to 830.87, 1,147.04 and 551.76

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Solution

The fourth proportional to 830.87, 1,147.04 and 551.76 is: 761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.87 : 1,147.04 = 551.76 : x
  2. Step 2: Convert to fraction form
    830.87/1,147.04 = 551.76/x
  3. Step 3: Cross multiply
    830.87x = 1,147.04 × 551.76
  4. Step 4: Simplify right side
    830.87x = 632,890.70
  5. Step 5: Solve for x
    x = 632,890.70/830.87
  6. Step 6: Final answer
    x = 761.72

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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.