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Finding the Fourth Proportional to 684.63, 1,026.98 and 412.47

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Solution

The fourth proportional to 684.63, 1,026.98 and 412.47 is: 618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.63 : 1,026.98 = 412.47 : x
  2. Step 2: Convert to fraction form
    684.63/1,026.98 = 412.47/x
  3. Step 3: Cross multiply
    684.63x = 1,026.98 × 412.47
  4. Step 4: Simplify right side
    684.63x = 423,596.38
  5. Step 5: Solve for x
    x = 423,596.38/684.63
  6. Step 6: Final answer
    x = 618.72

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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.