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Finding the Fourth Proportional to 1,011.79, 1,387.23 and 999.34

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Solution

The fourth proportional to 1,011.79, 1,387.23 and 999.34 is: 1,370.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.79 : 1,387.23 = 999.34 : x
  2. Step 2: Convert to fraction form
    1,011.79/1,387.23 = 999.34/x
  3. Step 3: Cross multiply
    1,011.79x = 1,387.23 × 999.34
  4. Step 4: Simplify right side
    1,011.79x = 1,386,307.21
  5. Step 5: Solve for x
    x = 1,386,307.21/1,011.79
  6. Step 6: Final answer
    x = 1,370.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.