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Finding the Fourth Proportional to 870.14, 1,302.91 and 697.16

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Solution

The fourth proportional to 870.14, 1,302.91 and 697.16 is: 1,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.14 : 1,302.91 = 697.16 : x
  2. Step 2: Convert to fraction form
    870.14/1,302.91 = 697.16/x
  3. Step 3: Cross multiply
    870.14x = 1,302.91 × 697.16
  4. Step 4: Simplify right side
    870.14x = 908,338.25
  5. Step 5: Solve for x
    x = 908,338.25/870.14
  6. Step 6: Final answer
    x = 1,043.90

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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.