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Finding the Fourth Proportional to 977.88, 1,466.66 and 392.87

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Solution

The fourth proportional to 977.88, 1,466.66 and 392.87 is: 589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.88 : 1,466.66 = 392.87 : x
  2. Step 2: Convert to fraction form
    977.88/1,466.66 = 392.87/x
  3. Step 3: Cross multiply
    977.88x = 1,466.66 × 392.87
  4. Step 4: Simplify right side
    977.88x = 576,197.42
  5. Step 5: Solve for x
    x = 576,197.42/977.88
  6. Step 6: Final answer
    x = 589.23

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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.