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Finding the Fourth Proportional to 634.92, 946.98 and 580.26

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Solution

The fourth proportional to 634.92, 946.98 and 580.26 is: 865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.92 : 946.98 = 580.26 : x
  2. Step 2: Convert to fraction form
    634.92/946.98 = 580.26/x
  3. Step 3: Cross multiply
    634.92x = 946.98 × 580.26
  4. Step 4: Simplify right side
    634.92x = 549,494.61
  5. Step 5: Solve for x
    x = 549,494.61/634.92
  6. Step 6: Final answer
    x = 865.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.