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Finding the Fourth Proportional to 1,013.77, 1,526.20 and 691.19

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Solution

The fourth proportional to 1,013.77, 1,526.20 and 691.19 is: 1,040.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.77 : 1,526.20 = 691.19 : x
  2. Step 2: Convert to fraction form
    1,013.77/1,526.20 = 691.19/x
  3. Step 3: Cross multiply
    1,013.77x = 1,526.20 × 691.19
  4. Step 4: Simplify right side
    1,013.77x = 1,054,894.18
  5. Step 5: Solve for x
    x = 1,054,894.18/1,013.77
  6. Step 6: Final answer
    x = 1,040.57

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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.