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Finding the Fourth Proportional to 1,016.71, 1,525.35 and 286.29

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Solution

The fourth proportional to 1,016.71, 1,525.35 and 286.29 is: 429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.71 : 1,525.35 = 286.29 : x
  2. Step 2: Convert to fraction form
    1,016.71/1,525.35 = 286.29/x
  3. Step 3: Cross multiply
    1,016.71x = 1,525.35 × 286.29
  4. Step 4: Simplify right side
    1,016.71x = 436,692.45
  5. Step 5: Solve for x
    x = 436,692.45/1,016.71
  6. Step 6: Final answer
    x = 429.52

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.