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Finding the Fourth Proportional to 1,026.24, 1,415.65 and 711.69

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Solution

The fourth proportional to 1,026.24, 1,415.65 and 711.69 is: 981.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.24 : 1,415.65 = 711.69 : x
  2. Step 2: Convert to fraction form
    1,026.24/1,415.65 = 711.69/x
  3. Step 3: Cross multiply
    1,026.24x = 1,415.65 × 711.69
  4. Step 4: Simplify right side
    1,026.24x = 1,007,500.39
  5. Step 5: Solve for x
    x = 1,007,500.39/1,026.24
  6. Step 6: Final answer
    x = 981.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.