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Finding the Fourth Proportional to 816.76, 1,127.60 and 596.20

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Solution

The fourth proportional to 816.76, 1,127.60 and 596.20 is: 823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.76 : 1,127.60 = 596.20 : x
  2. Step 2: Convert to fraction form
    816.76/1,127.60 = 596.20/x
  3. Step 3: Cross multiply
    816.76x = 1,127.60 × 596.20
  4. Step 4: Simplify right side
    816.76x = 672,275.12
  5. Step 5: Solve for x
    x = 672,275.12/816.76
  6. Step 6: Final answer
    x = 823.10

Related Problems

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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.