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Finding the Fourth Proportional to 870.11, 1,299.47 and 697.04

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Solution

The fourth proportional to 870.11, 1,299.47 and 697.04 is: 1,040.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.11 : 1,299.47 = 697.04 : x
  2. Step 2: Convert to fraction form
    870.11/1,299.47 = 697.04/x
  3. Step 3: Cross multiply
    870.11x = 1,299.47 × 697.04
  4. Step 4: Simplify right side
    870.11x = 905,772.59
  5. Step 5: Solve for x
    x = 905,772.59/870.11
  6. Step 6: Final answer
    x = 1,040.99

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