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Finding the Fourth Proportional to 478.15, 715.77 and 292.57

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Solution

The fourth proportional to 478.15, 715.77 and 292.57 is: 437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.15 : 715.77 = 292.57 : x
  2. Step 2: Convert to fraction form
    478.15/715.77 = 292.57/x
  3. Step 3: Cross multiply
    478.15x = 715.77 × 292.57
  4. Step 4: Simplify right side
    478.15x = 209,412.83
  5. Step 5: Solve for x
    x = 209,412.83/478.15
  6. Step 6: Final answer
    x = 437.96

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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.