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Finding the Fourth Proportional to 1,323.76, 1,985.68 and 592.88

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Solution

The fourth proportional to 1,323.76, 1,985.68 and 592.88 is: 889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.76 : 1,985.68 = 592.88 : x
  2. Step 2: Convert to fraction form
    1,323.76/1,985.68 = 592.88/x
  3. Step 3: Cross multiply
    1,323.76x = 1,985.68 × 592.88
  4. Step 4: Simplify right side
    1,323.76x = 1,177,269.96
  5. Step 5: Solve for x
    x = 1,177,269.96/1,323.76
  6. Step 6: Final answer
    x = 889.34

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1.5x scale

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.