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Finding the Fourth Proportional to 1,323.92, 1,985.28 and 457.62

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Solution

The fourth proportional to 1,323.92, 1,985.28 and 457.62 is: 686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.92 : 1,985.28 = 457.62 : x
  2. Step 2: Convert to fraction form
    1,323.92/1,985.28 = 457.62/x
  3. Step 3: Cross multiply
    1,323.92x = 1,985.28 × 457.62
  4. Step 4: Simplify right side
    1,323.92x = 908,503.83
  5. Step 5: Solve for x
    x = 908,503.83/1,323.92
  6. Step 6: Final answer
    x = 686.22

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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.