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Finding the Fourth Proportional to 977.52, 1,466.27 and 392.51

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Solution

The fourth proportional to 977.52, 1,466.27 and 392.51 is: 588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.52 : 1,466.27 = 392.51 : x
  2. Step 2: Convert to fraction form
    977.52/1,466.27 = 392.51/x
  3. Step 3: Cross multiply
    977.52x = 1,466.27 × 392.51
  4. Step 4: Simplify right side
    977.52x = 575,523.95
  5. Step 5: Solve for x
    x = 575,523.95/977.52
  6. Step 6: Final answer
    x = 588.76

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.