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Finding the Fourth Proportional to 898.74, 1,347.16 and 378.62

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Solution

The fourth proportional to 898.74, 1,347.16 and 378.62 is: 567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.74 : 1,347.16 = 378.62 : x
  2. Step 2: Convert to fraction form
    898.74/1,347.16 = 378.62/x
  3. Step 3: Cross multiply
    898.74x = 1,347.16 × 378.62
  4. Step 4: Simplify right side
    898.74x = 510,061.72
  5. Step 5: Solve for x
    x = 510,061.72/898.74
  6. Step 6: Final answer
    x = 567.53

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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.