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Finding the Fourth Proportional to 1,688.32, 2,532.48 and 592.09

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Solution

The fourth proportional to 1,688.32, 2,532.48 and 592.09 is: 888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.32 : 2,532.48 = 592.09 : x
  2. Step 2: Convert to fraction form
    1,688.32/2,532.48 = 592.09/x
  3. Step 3: Cross multiply
    1,688.32x = 2,532.48 × 592.09
  4. Step 4: Simplify right side
    1,688.32x = 1,499,456.08
  5. Step 5: Solve for x
    x = 1,499,456.08/1,688.32
  6. Step 6: Final answer
    x = 888.14

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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.