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Finding the Fourth Proportional to 977.91, 1,466.73 and 538.08

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Solution

The fourth proportional to 977.91, 1,466.73 and 538.08 is: 807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.91 : 1,466.73 = 538.08 : x
  2. Step 2: Convert to fraction form
    977.91/1,466.73 = 538.08/x
  3. Step 3: Cross multiply
    977.91x = 1,466.73 × 538.08
  4. Step 4: Simplify right side
    977.91x = 789,218.08
  5. Step 5: Solve for x
    x = 789,218.08/977.91
  6. Step 6: Final answer
    x = 807.05

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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.