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Finding the Fourth Proportional to 750.19, 1,125.02 and 256.50

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Solution

The fourth proportional to 750.19, 1,125.02 and 256.50 is: 384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.19 : 1,125.02 = 256.50 : x
  2. Step 2: Convert to fraction form
    750.19/1,125.02 = 256.50/x
  3. Step 3: Cross multiply
    750.19x = 1,125.02 × 256.50
  4. Step 4: Simplify right side
    750.19x = 288,566.35
  5. Step 5: Solve for x
    x = 288,566.35/750.19
  6. Step 6: Final answer
    x = 384.66

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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.