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Finding the Fourth Proportional to 1,011.68, 1,514.93 and 601.11

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Solution

The fourth proportional to 1,011.68, 1,514.93 and 601.11 is: 900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.68 : 1,514.93 = 601.11 : x
  2. Step 2: Convert to fraction form
    1,011.68/1,514.93 = 601.11/x
  3. Step 3: Cross multiply
    1,011.68x = 1,514.93 × 601.11
  4. Step 4: Simplify right side
    1,011.68x = 910,639.57
  5. Step 5: Solve for x
    x = 910,639.57/1,011.68
  6. Step 6: Final answer
    x = 900.13

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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.