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Finding the Fourth Proportional to 434.86, 650.70 and 374.71

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Solution

The fourth proportional to 434.86, 650.70 and 374.71 is: 560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.86 : 650.70 = 374.71 : x
  2. Step 2: Convert to fraction form
    434.86/650.70 = 374.71/x
  3. Step 3: Cross multiply
    434.86x = 650.70 × 374.71
  4. Step 4: Simplify right side
    434.86x = 243,823.80
  5. Step 5: Solve for x
    x = 243,823.80/434.86
  6. Step 6: Final answer
    x = 560.69

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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.