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Finding the Fourth Proportional to 630.68, 870.18 and 423.68

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Solution

The fourth proportional to 630.68, 870.18 and 423.68 is: 584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.68 : 870.18 = 423.68 : x
  2. Step 2: Convert to fraction form
    630.68/870.18 = 423.68/x
  3. Step 3: Cross multiply
    630.68x = 870.18 × 423.68
  4. Step 4: Simplify right side
    630.68x = 368,677.86
  5. Step 5: Solve for x
    x = 368,677.86/630.68
  6. Step 6: Final answer
    x = 584.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.