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Finding the Fourth Proportional to 929.56, 1,391.11 and 578.02

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Solution

The fourth proportional to 929.56, 1,391.11 and 578.02 is: 865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.56 : 1,391.11 = 578.02 : x
  2. Step 2: Convert to fraction form
    929.56/1,391.11 = 578.02/x
  3. Step 3: Cross multiply
    929.56x = 1,391.11 × 578.02
  4. Step 4: Simplify right side
    929.56x = 804,089.40
  5. Step 5: Solve for x
    x = 804,089.40/929.56
  6. Step 6: Final answer
    x = 865.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.