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Finding the Fourth Proportional to 783.69, 1,080.96 and 596.77

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Solution

The fourth proportional to 783.69, 1,080.96 and 596.77 is: 823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.69 : 1,080.96 = 596.77 : x
  2. Step 2: Convert to fraction form
    783.69/1,080.96 = 596.77/x
  3. Step 3: Cross multiply
    783.69x = 1,080.96 × 596.77
  4. Step 4: Simplify right side
    783.69x = 645,082.92
  5. Step 5: Solve for x
    x = 645,082.92/783.69
  6. Step 6: Final answer
    x = 823.13

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.