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Finding the Fourth Proportional to 684.63, 1,026.91 and 294.48

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Solution

The fourth proportional to 684.63, 1,026.91 and 294.48 is: 441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.63 : 1,026.91 = 294.48 : x
  2. Step 2: Convert to fraction form
    684.63/1,026.91 = 294.48/x
  3. Step 3: Cross multiply
    684.63x = 1,026.91 × 294.48
  4. Step 4: Simplify right side
    684.63x = 302,404.46
  5. Step 5: Solve for x
    x = 302,404.46/684.63
  6. Step 6: Final answer
    x = 441.70

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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.