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Finding the Fourth Proportional to 783.61, 1,081.40 and 429.55

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Solution

The fourth proportional to 783.61, 1,081.40 and 429.55 is: 592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.61 : 1,081.40 = 429.55 : x
  2. Step 2: Convert to fraction form
    783.61/1,081.40 = 429.55/x
  3. Step 3: Cross multiply
    783.61x = 1,081.40 × 429.55
  4. Step 4: Simplify right side
    783.61x = 464,515.37
  5. Step 5: Solve for x
    x = 464,515.37/783.61
  6. Step 6: Final answer
    x = 592.79

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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.