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Finding the Fourth Proportional to 710.49, 978.41 and 626.04

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Solution

The fourth proportional to 710.49, 978.41 and 626.04 is: 862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.49 : 978.41 = 626.04 : x
  2. Step 2: Convert to fraction form
    710.49/978.41 = 626.04/x
  3. Step 3: Cross multiply
    710.49x = 978.41 × 626.04
  4. Step 4: Simplify right side
    710.49x = 612,520.67
  5. Step 5: Solve for x
    x = 612,520.67/710.49
  6. Step 6: Final answer
    x = 862.11

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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.