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Finding the Fourth Proportional to 838.18, 1,158.20 and 652.15

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Solution

The fourth proportional to 838.18, 1,158.20 and 652.15 is: 901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.18 : 1,158.20 = 652.15 : x
  2. Step 2: Convert to fraction form
    838.18/1,158.20 = 652.15/x
  3. Step 3: Cross multiply
    838.18x = 1,158.20 × 652.15
  4. Step 4: Simplify right side
    838.18x = 755,320.13
  5. Step 5: Solve for x
    x = 755,320.13/838.18
  6. Step 6: Final answer
    x = 901.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.