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Finding the Fourth Proportional to 1,023.12, 1,411.65 and 709.02

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Solution

The fourth proportional to 1,023.12, 1,411.65 and 709.02 is: 978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.12 : 1,411.65 = 709.02 : x
  2. Step 2: Convert to fraction form
    1,023.12/1,411.65 = 709.02/x
  3. Step 3: Cross multiply
    1,023.12x = 1,411.65 × 709.02
  4. Step 4: Simplify right side
    1,023.12x = 1,000,888.08
  5. Step 5: Solve for x
    x = 1,000,888.08/1,023.12
  6. Step 6: Final answer
    x = 978.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.