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Finding the Fourth Proportional to 783.71, 1,081.53 and 434.42

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Solution

The fourth proportional to 783.71, 1,081.53 and 434.42 is: 599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.71 : 1,081.53 = 434.42 : x
  2. Step 2: Convert to fraction form
    783.71/1,081.53 = 434.42/x
  3. Step 3: Cross multiply
    783.71x = 1,081.53 × 434.42
  4. Step 4: Simplify right side
    783.71x = 469,838.26
  5. Step 5: Solve for x
    x = 469,838.26/783.71
  6. Step 6: Final answer
    x = 599.51

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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.