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Finding the Fourth Proportional to 710.87, 977.03 and 627.47

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Solution

The fourth proportional to 710.87, 977.03 and 627.47 is: 862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.87 : 977.03 = 627.47 : x
  2. Step 2: Convert to fraction form
    710.87/977.03 = 627.47/x
  3. Step 3: Cross multiply
    710.87x = 977.03 × 627.47
  4. Step 4: Simplify right side
    710.87x = 613,048.99
  5. Step 5: Solve for x
    x = 613,048.99/710.87
  6. Step 6: Final answer
    x = 862.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.