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Finding the Fourth Proportional to 994.95, 1,371.53 and 715.77

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Solution

The fourth proportional to 994.95, 1,371.53 and 715.77 is: 986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.95 : 1,371.53 = 715.77 : x
  2. Step 2: Convert to fraction form
    994.95/1,371.53 = 715.77/x
  3. Step 3: Cross multiply
    994.95x = 1,371.53 × 715.77
  4. Step 4: Simplify right side
    994.95x = 981,701.82
  5. Step 5: Solve for x
    x = 981,701.82/994.95
  6. Step 6: Final answer
    x = 986.68

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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.