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Finding the Fourth Proportional to 929.12, 1,393.92 and 374.00

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Solution

The fourth proportional to 929.12, 1,393.92 and 374.00 is: 561.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.12 : 1,393.92 = 374.00 : x
  2. Step 2: Convert to fraction form
    929.12/1,393.92 = 374.00/x
  3. Step 3: Cross multiply
    929.12x = 1,393.92 × 374.00
  4. Step 4: Simplify right side
    929.12x = 521,319.11
  5. Step 5: Solve for x
    x = 521,319.11/929.12
  6. Step 6: Final answer
    x = 561.09

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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.