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Finding the Fourth Proportional to 929.30, 1,281.83 and 597.20

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Solution

The fourth proportional to 929.30, 1,281.83 and 597.20 is: 823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.30 : 1,281.83 = 597.20 : x
  2. Step 2: Convert to fraction form
    929.30/1,281.83 = 597.20/x
  3. Step 3: Cross multiply
    929.30x = 1,281.83 × 597.20
  4. Step 4: Simplify right side
    929.30x = 765,499.48
  5. Step 5: Solve for x
    x = 765,499.48/929.30
  6. Step 6: Final answer
    x = 823.74

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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.