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Finding the Fourth Proportional to 1,016.02, 1,402.28 and 766.95

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Solution

The fourth proportional to 1,016.02, 1,402.28 and 766.95 is: 1,058.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.02 : 1,402.28 = 766.95 : x
  2. Step 2: Convert to fraction form
    1,016.02/1,402.28 = 766.95/x
  3. Step 3: Cross multiply
    1,016.02x = 1,402.28 × 766.95
  4. Step 4: Simplify right side
    1,016.02x = 1,075,478.65
  5. Step 5: Solve for x
    x = 1,075,478.65/1,016.02
  6. Step 6: Final answer
    x = 1,058.52

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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.