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Finding the Fourth Proportional to 976.79, 1,461.54 and 566.12

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Solution

The fourth proportional to 976.79, 1,461.54 and 566.12 is: 847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.79 : 1,461.54 = 566.12 : x
  2. Step 2: Convert to fraction form
    976.79/1,461.54 = 566.12/x
  3. Step 3: Cross multiply
    976.79x = 1,461.54 × 566.12
  4. Step 4: Simplify right side
    976.79x = 827,407.02
  5. Step 5: Solve for x
    x = 827,407.02/976.79
  6. Step 6: Final answer
    x = 847.07

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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.