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Finding the Fourth Proportional to 1,056.61, 1,585.17 and 326.16

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Solution

The fourth proportional to 1,056.61, 1,585.17 and 326.16 is: 489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.61 : 1,585.17 = 326.16 : x
  2. Step 2: Convert to fraction form
    1,056.61/1,585.17 = 326.16/x
  3. Step 3: Cross multiply
    1,056.61x = 1,585.17 × 326.16
  4. Step 4: Simplify right side
    1,056.61x = 517,019.05
  5. Step 5: Solve for x
    x = 517,019.05/1,056.61
  6. Step 6: Final answer
    x = 489.32

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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.