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Finding the Fourth Proportional to 1,012, 1,510.76 and 856.88

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Solution

The fourth proportional to 1,012, 1,510.76 and 856.88 is: 1,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012 : 1,510.76 = 856.88 : x
  2. Step 2: Convert to fraction form
    1,012/1,510.76 = 856.88/x
  3. Step 3: Cross multiply
    1,012x = 1,510.76 × 856.88
  4. Step 4: Simplify right side
    1,012x = 1,294,540.03
  5. Step 5: Solve for x
    x = 1,294,540.03/1,012
  6. Step 6: Final answer
    x = 1,279.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.