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Finding the Fourth Proportional to 1,017.81, 1,527.44 and 652.77

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Solution

The fourth proportional to 1,017.81, 1,527.44 and 652.77 is: 979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.81 : 1,527.44 = 652.77 : x
  2. Step 2: Convert to fraction form
    1,017.81/1,527.44 = 652.77/x
  3. Step 3: Cross multiply
    1,017.81x = 1,527.44 × 652.77
  4. Step 4: Simplify right side
    1,017.81x = 997,063.74
  5. Step 5: Solve for x
    x = 997,063.74/1,017.81
  6. Step 6: Final answer
    x = 979.62

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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.