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Finding the Fourth Proportional to 684.40, 1,026.50 and 314.10

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Solution

The fourth proportional to 684.40, 1,026.50 and 314.10 is: 471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.40 : 1,026.50 = 314.10 : x
  2. Step 2: Convert to fraction form
    684.40/1,026.50 = 314.10/x
  3. Step 3: Cross multiply
    684.40x = 1,026.50 × 314.10
  4. Step 4: Simplify right side
    684.40x = 322,423.65
  5. Step 5: Solve for x
    x = 322,423.65/684.40
  6. Step 6: Final answer
    x = 471.10

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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.