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Finding the Fourth Proportional to 977.58, 1,467.72 and 647.55

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Solution

The fourth proportional to 977.58, 1,467.72 and 647.55 is: 972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.58 : 1,467.72 = 647.55 : x
  2. Step 2: Convert to fraction form
    977.58/1,467.72 = 647.55/x
  3. Step 3: Cross multiply
    977.58x = 1,467.72 × 647.55
  4. Step 4: Simplify right side
    977.58x = 950,422.09
  5. Step 5: Solve for x
    x = 950,422.09/977.58
  6. Step 6: Final answer
    x = 972.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.