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Finding the Fourth Proportional to 652.40, 977.40 and 549.20

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Solution

The fourth proportional to 652.40, 977.40 and 549.20 is: 822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.40 : 977.40 = 549.20 : x
  2. Step 2: Convert to fraction form
    652.40/977.40 = 549.20/x
  3. Step 3: Cross multiply
    652.40x = 977.40 × 549.20
  4. Step 4: Simplify right side
    652.40x = 536,788.08
  5. Step 5: Solve for x
    x = 536,788.08/652.40
  6. Step 6: Final answer
    x = 822.79

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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.