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Finding the Fourth Proportional to 929.18, 1,281.74 and 580.07

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Solution

The fourth proportional to 929.18, 1,281.74 and 580.07 is: 800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.18 : 1,281.74 = 580.07 : x
  2. Step 2: Convert to fraction form
    929.18/1,281.74 = 580.07/x
  3. Step 3: Cross multiply
    929.18x = 1,281.74 × 580.07
  4. Step 4: Simplify right side
    929.18x = 743,489.61
  5. Step 5: Solve for x
    x = 743,489.61/929.18
  6. Step 6: Final answer
    x = 800.16

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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.