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Finding the Fourth Proportional to 1,011.26, 1,515.57 and 462.23

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Solution

The fourth proportional to 1,011.26, 1,515.57 and 462.23 is: 692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.26 : 1,515.57 = 462.23 : x
  2. Step 2: Convert to fraction form
    1,011.26/1,515.57 = 462.23/x
  3. Step 3: Cross multiply
    1,011.26x = 1,515.57 × 462.23
  4. Step 4: Simplify right side
    1,011.26x = 700,541.92
  5. Step 5: Solve for x
    x = 700,541.92/1,011.26
  6. Step 6: Final answer
    x = 692.74

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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.