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Finding the Fourth Proportional to 705, 973.35 and 631.19

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Solution

The fourth proportional to 705, 973.35 and 631.19 is: 871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 973.35 = 631.19 : x
  2. Step 2: Convert to fraction form
    705/973.35 = 631.19/x
  3. Step 3: Cross multiply
    705x = 973.35 × 631.19
  4. Step 4: Simplify right side
    705x = 614,363.92
  5. Step 5: Solve for x
    x = 614,363.92/705
  6. Step 6: Final answer
    x = 871.44

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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.