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Finding the Fourth Proportional to 750.06, 1,124.55 and 384.75

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Solution

The fourth proportional to 750.06, 1,124.55 and 384.75 is: 576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.06 : 1,124.55 = 384.75 : x
  2. Step 2: Convert to fraction form
    750.06/1,124.55 = 384.75/x
  3. Step 3: Cross multiply
    750.06x = 1,124.55 × 384.75
  4. Step 4: Simplify right side
    750.06x = 432,670.61
  5. Step 5: Solve for x
    x = 432,670.61/750.06
  6. Step 6: Final answer
    x = 576.85

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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.