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Finding the Fourth Proportional to 710.90, 981.66 and 687.66

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Solution

The fourth proportional to 710.90, 981.66 and 687.66 is: 949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.90 : 981.66 = 687.66 : x
  2. Step 2: Convert to fraction form
    710.90/981.66 = 687.66/x
  3. Step 3: Cross multiply
    710.90x = 981.66 × 687.66
  4. Step 4: Simplify right side
    710.90x = 675,048.32
  5. Step 5: Solve for x
    x = 675,048.32/710.90
  6. Step 6: Final answer
    x = 949.58

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1.5x scale

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.