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Finding the Fourth Proportional to 834.95, 1,152.36 and 498.89

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Solution

The fourth proportional to 834.95, 1,152.36 and 498.89 is: 688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.95 : 1,152.36 = 498.89 : x
  2. Step 2: Convert to fraction form
    834.95/1,152.36 = 498.89/x
  3. Step 3: Cross multiply
    834.95x = 1,152.36 × 498.89
  4. Step 4: Simplify right side
    834.95x = 574,900.88
  5. Step 5: Solve for x
    x = 574,900.88/834.95
  6. Step 6: Final answer
    x = 688.55

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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.