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Finding the Fourth Proportional to 898.17, 1,347.77 and 378.13

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Solution

The fourth proportional to 898.17, 1,347.77 and 378.13 is: 567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.17 : 1,347.77 = 378.13 : x
  2. Step 2: Convert to fraction form
    898.17/1,347.77 = 378.13/x
  3. Step 3: Cross multiply
    898.17x = 1,347.77 × 378.13
  4. Step 4: Simplify right side
    898.17x = 509,632.27
  5. Step 5: Solve for x
    x = 509,632.27/898.17
  6. Step 6: Final answer
    x = 567.41

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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.