Home / 1,057.02-1,585.30-326.40

Finding the Fourth Proportional to 1,057.02, 1,585.30 and 326.40

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Solution

The fourth proportional to 1,057.02, 1,585.30 and 326.40 is: 489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.02 : 1,585.30 = 326.40 : x
  2. Step 2: Convert to fraction form
    1,057.02/1,585.30 = 326.40/x
  3. Step 3: Cross multiply
    1,057.02x = 1,585.30 × 326.40
  4. Step 4: Simplify right side
    1,057.02x = 517,441.92
  5. Step 5: Solve for x
    x = 517,441.92/1,057.02
  6. Step 6: Final answer
    x = 489.53

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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.