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Finding the Fourth Proportional to 977.17, 1,348.87 and 646.05

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Solution

The fourth proportional to 977.17, 1,348.87 and 646.05 is: 891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.17 : 1,348.87 = 646.05 : x
  2. Step 2: Convert to fraction form
    977.17/1,348.87 = 646.05/x
  3. Step 3: Cross multiply
    977.17x = 1,348.87 × 646.05
  4. Step 4: Simplify right side
    977.17x = 871,438.32
  5. Step 5: Solve for x
    x = 871,438.32/977.17
  6. Step 6: Final answer
    x = 891.80

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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.