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Finding the Fourth Proportional to 1,238.48, 1,709.25 and 714.50

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Solution

The fourth proportional to 1,238.48, 1,709.25 and 714.50 is: 986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.48 : 1,709.25 = 714.50 : x
  2. Step 2: Convert to fraction form
    1,238.48/1,709.25 = 714.50/x
  3. Step 3: Cross multiply
    1,238.48x = 1,709.25 × 714.50
  4. Step 4: Simplify right side
    1,238.48x = 1,221,259.13
  5. Step 5: Solve for x
    x = 1,221,259.13/1,238.48
  6. Step 6: Final answer
    x = 986.10

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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.