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Finding the Fourth Proportional to 976.40, 1,464.15 and 565.66

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Solution

The fourth proportional to 976.40, 1,464.15 and 565.66 is: 848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.40 : 1,464.15 = 565.66 : x
  2. Step 2: Convert to fraction form
    976.40/1,464.15 = 565.66/x
  3. Step 3: Cross multiply
    976.40x = 1,464.15 × 565.66
  4. Step 4: Simplify right side
    976.40x = 828,209.33
  5. Step 5: Solve for x
    x = 828,209.33/976.40
  6. Step 6: Final answer
    x = 848.22

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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.