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Finding the Fourth Proportional to 979.72, 1,462.57 and 945.52

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Solution

The fourth proportional to 979.72, 1,462.57 and 945.52 is: 1,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.72 : 1,462.57 = 945.52 : x
  2. Step 2: Convert to fraction form
    979.72/1,462.57 = 945.52/x
  3. Step 3: Cross multiply
    979.72x = 1,462.57 × 945.52
  4. Step 4: Simplify right side
    979.72x = 1,382,889.19
  5. Step 5: Solve for x
    x = 1,382,889.19/979.72
  6. Step 6: Final answer
    x = 1,411.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.