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Finding the Fourth Proportional to 785.47, 1,081.46 and 598.36

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Solution

The fourth proportional to 785.47, 1,081.46 and 598.36 is: 823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.47 : 1,081.46 = 598.36 : x
  2. Step 2: Convert to fraction form
    785.47/1,081.46 = 598.36/x
  3. Step 3: Cross multiply
    785.47x = 1,081.46 × 598.36
  4. Step 4: Simplify right side
    785.47x = 647,101.20
  5. Step 5: Solve for x
    x = 647,101.20/785.47
  6. Step 6: Final answer
    x = 823.84

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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.