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Finding the Fourth Proportional to 1,062.15, 1,601.10 and 969.87

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Solution

The fourth proportional to 1,062.15, 1,601.10 and 969.87 is: 1,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.15 : 1,601.10 = 969.87 : x
  2. Step 2: Convert to fraction form
    1,062.15/1,601.10 = 969.87/x
  3. Step 3: Cross multiply
    1,062.15x = 1,601.10 × 969.87
  4. Step 4: Simplify right side
    1,062.15x = 1,552,864.86
  5. Step 5: Solve for x
    x = 1,552,864.86/1,062.15
  6. Step 6: Final answer
    x = 1,462.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.