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Finding the Fourth Proportional to 684.95, 1,026.82 and 320.18

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Solution

The fourth proportional to 684.95, 1,026.82 and 320.18 is: 479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.95 : 1,026.82 = 320.18 : x
  2. Step 2: Convert to fraction form
    684.95/1,026.82 = 320.18/x
  3. Step 3: Cross multiply
    684.95x = 1,026.82 × 320.18
  4. Step 4: Simplify right side
    684.95x = 328,765.63
  5. Step 5: Solve for x
    x = 328,765.63/684.95
  6. Step 6: Final answer
    x = 479.98

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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.