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Finding the Fourth Proportional to 783.39, 1,081.08 and 434.10

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Solution

The fourth proportional to 783.39, 1,081.08 and 434.10 is: 599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.39 : 1,081.08 = 434.10 : x
  2. Step 2: Convert to fraction form
    783.39/1,081.08 = 434.10/x
  3. Step 3: Cross multiply
    783.39x = 1,081.08 × 434.10
  4. Step 4: Simplify right side
    783.39x = 469,296.83
  5. Step 5: Solve for x
    x = 469,296.83/783.39
  6. Step 6: Final answer
    x = 599.06

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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.