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Finding the Fourth Proportional to 867.84, 1,298.52 and 521.34

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Solution

The fourth proportional to 867.84, 1,298.52 and 521.34 is: 780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.84 : 1,298.52 = 521.34 : x
  2. Step 2: Convert to fraction form
    867.84/1,298.52 = 521.34/x
  3. Step 3: Cross multiply
    867.84x = 1,298.52 × 521.34
  4. Step 4: Simplify right side
    867.84x = 676,970.42
  5. Step 5: Solve for x
    x = 676,970.42/867.84
  6. Step 6: Final answer
    x = 780.06

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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.