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Finding the Fourth Proportional to 783.70, 1,081.49 and 429.62

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Solution

The fourth proportional to 783.70, 1,081.49 and 429.62 is: 592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.70 : 1,081.49 = 429.62 : x
  2. Step 2: Convert to fraction form
    783.70/1,081.49 = 429.62/x
  3. Step 3: Cross multiply
    783.70x = 1,081.49 × 429.62
  4. Step 4: Simplify right side
    783.70x = 464,633.51
  5. Step 5: Solve for x
    x = 464,633.51/783.70
  6. Step 6: Final answer
    x = 592.87

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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.