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Finding the Fourth Proportional to 783.73, 1,081.51 and 434.40

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Solution

The fourth proportional to 783.73, 1,081.51 and 434.40 is: 599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.73 : 1,081.51 = 434.40 : x
  2. Step 2: Convert to fraction form
    783.73/1,081.51 = 434.40/x
  3. Step 3: Cross multiply
    783.73x = 1,081.51 × 434.40
  4. Step 4: Simplify right side
    783.73x = 469,807.94
  5. Step 5: Solve for x
    x = 469,807.94/783.73
  6. Step 6: Final answer
    x = 599.45

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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.