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Finding the Fourth Proportional to 1,120.59, 1,679.81 and 710.19

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Solution

The fourth proportional to 1,120.59, 1,679.81 and 710.19 is: 1,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.59 : 1,679.81 = 710.19 : x
  2. Step 2: Convert to fraction form
    1,120.59/1,679.81 = 710.19/x
  3. Step 3: Cross multiply
    1,120.59x = 1,679.81 × 710.19
  4. Step 4: Simplify right side
    1,120.59x = 1,192,980.71
  5. Step 5: Solve for x
    x = 1,192,980.71/1,120.59
  6. Step 6: Final answer
    x = 1,064.60

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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.