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Finding the Fourth Proportional to 1,688.45, 2,532.68 and 592.56

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Solution

The fourth proportional to 1,688.45, 2,532.68 and 592.56 is: 888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.45 : 2,532.68 = 592.56 : x
  2. Step 2: Convert to fraction form
    1,688.45/2,532.68 = 592.56/x
  3. Step 3: Cross multiply
    1,688.45x = 2,532.68 × 592.56
  4. Step 4: Simplify right side
    1,688.45x = 1,500,764.86
  5. Step 5: Solve for x
    x = 1,500,764.86/1,688.45
  6. Step 6: Final answer
    x = 888.84

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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.