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Finding the Fourth Proportional to 1,588.80, 2,384 and 1,125.48

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Solution

The fourth proportional to 1,588.80, 2,384 and 1,125.48 is: 1,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.80 : 2,384 = 1,125.48 : x
  2. Step 2: Convert to fraction form
    1,588.80/2,384 = 1,125.48/x
  3. Step 3: Cross multiply
    1,588.80x = 2,384 × 1,125.48
  4. Step 4: Simplify right side
    1,588.80x = 2,683,144.32
  5. Step 5: Solve for x
    x = 2,683,144.32/1,588.80
  6. Step 6: Final answer
    x = 1,688.79

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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.