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Finding the Fourth Proportional to 834.98, 1,152.02 and 586.50

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Solution

The fourth proportional to 834.98, 1,152.02 and 586.50 is: 809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.98 : 1,152.02 = 586.50 : x
  2. Step 2: Convert to fraction form
    834.98/1,152.02 = 586.50/x
  3. Step 3: Cross multiply
    834.98x = 1,152.02 × 586.50
  4. Step 4: Simplify right side
    834.98x = 675,656.80
  5. Step 5: Solve for x
    x = 675,656.80/834.98
  6. Step 6: Final answer
    x = 809.19

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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.