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Finding the Fourth Proportional to 977.22, 1,347.90 and 584.10

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Solution

The fourth proportional to 977.22, 1,347.90 and 584.10 is: 805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.22 : 1,347.90 = 584.10 : x
  2. Step 2: Convert to fraction form
    977.22/1,347.90 = 584.10/x
  3. Step 3: Cross multiply
    977.22x = 1,347.90 × 584.10
  4. Step 4: Simplify right side
    977.22x = 787,308.39
  5. Step 5: Solve for x
    x = 787,308.39/977.22
  6. Step 6: Final answer
    x = 805.66

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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.