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Finding the Fourth Proportional to 870.48, 1,306 and 322.74

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Solution

The fourth proportional to 870.48, 1,306 and 322.74 is: 484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.48 : 1,306 = 322.74 : x
  2. Step 2: Convert to fraction form
    870.48/1,306 = 322.74/x
  3. Step 3: Cross multiply
    870.48x = 1,306 × 322.74
  4. Step 4: Simplify right side
    870.48x = 421,498.44
  5. Step 5: Solve for x
    x = 421,498.44/870.48
  6. Step 6: Final answer
    x = 484.21

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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.