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Finding the Fourth Proportional to 1,016.10, 1,525.05 and 870.30

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Solution

The fourth proportional to 1,016.10, 1,525.05 and 870.30 is: 1,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.10 : 1,525.05 = 870.30 : x
  2. Step 2: Convert to fraction form
    1,016.10/1,525.05 = 870.30/x
  3. Step 3: Cross multiply
    1,016.10x = 1,525.05 × 870.30
  4. Step 4: Simplify right side
    1,016.10x = 1,327,251.02
  5. Step 5: Solve for x
    x = 1,327,251.02/1,016.10
  6. Step 6: Final answer
    x = 1,306.22

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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.