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Finding the Fourth Proportional to 977.98, 1,466.99 and 353.24

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Solution

The fourth proportional to 977.98, 1,466.99 and 353.24 is: 529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.98 : 1,466.99 = 353.24 : x
  2. Step 2: Convert to fraction form
    977.98/1,466.99 = 353.24/x
  3. Step 3: Cross multiply
    977.98x = 1,466.99 × 353.24
  4. Step 4: Simplify right side
    977.98x = 518,199.55
  5. Step 5: Solve for x
    x = 518,199.55/977.98
  6. Step 6: Final answer
    x = 529.87

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Half scale
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Double scale
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Similar ratio
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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.