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Finding the Fourth Proportional to 977.47, 1,349.36 and 627.55

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Solution

The fourth proportional to 977.47, 1,349.36 and 627.55 is: 866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.47 : 1,349.36 = 627.55 : x
  2. Step 2: Convert to fraction form
    977.47/1,349.36 = 627.55/x
  3. Step 3: Cross multiply
    977.47x = 1,349.36 × 627.55
  4. Step 4: Simplify right side
    977.47x = 846,786.71
  5. Step 5: Solve for x
    x = 846,786.71/977.47
  6. Step 6: Final answer
    x = 866.31

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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.