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Finding the Fourth Proportional to 976.72, 1,465.14 and 566.32

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Solution

The fourth proportional to 976.72, 1,465.14 and 566.32 is: 849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.72 : 1,465.14 = 566.32 : x
  2. Step 2: Convert to fraction form
    976.72/1,465.14 = 566.32/x
  3. Step 3: Cross multiply
    976.72x = 1,465.14 × 566.32
  4. Step 4: Simplify right side
    976.72x = 829,738.08
  5. Step 5: Solve for x
    x = 829,738.08/976.72
  6. Step 6: Final answer
    x = 849.51

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Double scale
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1.5x scale

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.