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Finding the Fourth Proportional to 944.04, 1,417.28 and 511.50

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Solution

The fourth proportional to 944.04, 1,417.28 and 511.50 is: 767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.04 : 1,417.28 = 511.50 : x
  2. Step 2: Convert to fraction form
    944.04/1,417.28 = 511.50/x
  3. Step 3: Cross multiply
    944.04x = 1,417.28 × 511.50
  4. Step 4: Simplify right side
    944.04x = 724,938.72
  5. Step 5: Solve for x
    x = 724,938.72/944.04
  6. Step 6: Final answer
    x = 767.91

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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.