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Finding the Fourth Proportional to 870.95, 1,312.42 and 720.27

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Solution

The fourth proportional to 870.95, 1,312.42 and 720.27 is: 1,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.95 : 1,312.42 = 720.27 : x
  2. Step 2: Convert to fraction form
    870.95/1,312.42 = 720.27/x
  3. Step 3: Cross multiply
    870.95x = 1,312.42 × 720.27
  4. Step 4: Simplify right side
    870.95x = 945,294.13
  5. Step 5: Solve for x
    x = 945,294.13/870.95
  6. Step 6: Final answer
    x = 1,085.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.