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Finding the Fourth Proportional to 710.41, 981.32 and 546.65

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Solution

The fourth proportional to 710.41, 981.32 and 546.65 is: 755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.41 : 981.32 = 546.65 : x
  2. Step 2: Convert to fraction form
    710.41/981.32 = 546.65/x
  3. Step 3: Cross multiply
    710.41x = 981.32 × 546.65
  4. Step 4: Simplify right side
    710.41x = 536,438.30
  5. Step 5: Solve for x
    x = 536,438.30/710.41
  6. Step 6: Final answer
    x = 755.11

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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.