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Finding the Fourth Proportional to 1,488.90, 2,056.07 and 958.71

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Solution

The fourth proportional to 1,488.90, 2,056.07 and 958.71 is: 1,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.90 : 2,056.07 = 958.71 : x
  2. Step 2: Convert to fraction form
    1,488.90/2,056.07 = 958.71/x
  3. Step 3: Cross multiply
    1,488.90x = 2,056.07 × 958.71
  4. Step 4: Simplify right side
    1,488.90x = 1,971,174.87
  5. Step 5: Solve for x
    x = 1,971,174.87/1,488.90
  6. Step 6: Final answer
    x = 1,323.91

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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.