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Finding the Fourth Proportional to 710.48, 981.39 and 489.05

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Solution

The fourth proportional to 710.48, 981.39 and 489.05 is: 675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.48 : 981.39 = 489.05 : x
  2. Step 2: Convert to fraction form
    710.48/981.39 = 489.05/x
  3. Step 3: Cross multiply
    710.48x = 981.39 × 489.05
  4. Step 4: Simplify right side
    710.48x = 479,943.87
  5. Step 5: Solve for x
    x = 479,943.87/710.48
  6. Step 6: Final answer
    x = 675.52

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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.