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Finding the Fourth Proportional to 834.76, 1,151.46 and 585.72

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Solution

The fourth proportional to 834.76, 1,151.46 and 585.72 is: 807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.76 : 1,151.46 = 585.72 : x
  2. Step 2: Convert to fraction form
    834.76/1,151.46 = 585.72/x
  3. Step 3: Cross multiply
    834.76x = 1,151.46 × 585.72
  4. Step 4: Simplify right side
    834.76x = 674,433.15
  5. Step 5: Solve for x
    x = 674,433.15/834.76
  6. Step 6: Final answer
    x = 807.94

Related Problems

Find fourth proportional to 417.38, 575.73 and 292.86
Half scale
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Double scale
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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.