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Finding the Fourth Proportional to 601.74, 907.14 and 563.40

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Solution

The fourth proportional to 601.74, 907.14 and 563.40 is: 849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.74 : 907.14 = 563.40 : x
  2. Step 2: Convert to fraction form
    601.74/907.14 = 563.40/x
  3. Step 3: Cross multiply
    601.74x = 907.14 × 563.40
  4. Step 4: Simplify right side
    601.74x = 511,082.68
  5. Step 5: Solve for x
    x = 511,082.68/601.74
  6. Step 6: Final answer
    x = 849.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.