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Finding the Fourth Proportional to 710.30, 981.14 and 488.86

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Solution

The fourth proportional to 710.30, 981.14 and 488.86 is: 675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.30 : 981.14 = 488.86 : x
  2. Step 2: Convert to fraction form
    710.30/981.14 = 488.86/x
  3. Step 3: Cross multiply
    710.30x = 981.14 × 488.86
  4. Step 4: Simplify right side
    710.30x = 479,635.20
  5. Step 5: Solve for x
    x = 479,635.20/710.30
  6. Step 6: Final answer
    x = 675.25

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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.