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Finding the Fourth Proportional to 750.19, 1,125.24 and 438.01

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Solution

The fourth proportional to 750.19, 1,125.24 and 438.01 is: 656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.19 : 1,125.24 = 438.01 : x
  2. Step 2: Convert to fraction form
    750.19/1,125.24 = 438.01/x
  3. Step 3: Cross multiply
    750.19x = 1,125.24 × 438.01
  4. Step 4: Simplify right side
    750.19x = 492,864.38
  5. Step 5: Solve for x
    x = 492,864.38/750.19
  6. Step 6: Final answer
    x = 656.99

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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.