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Finding the Fourth Proportional to 506.76, 699.12 and 310.20

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Solution

The fourth proportional to 506.76, 699.12 and 310.20 is: 427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.76 : 699.12 = 310.20 : x
  2. Step 2: Convert to fraction form
    506.76/699.12 = 310.20/x
  3. Step 3: Cross multiply
    506.76x = 699.12 × 310.20
  4. Step 4: Simplify right side
    506.76x = 216,867.02
  5. Step 5: Solve for x
    x = 216,867.02/506.76
  6. Step 6: Final answer
    x = 427.95

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Find fourth proportional to 253.38, 349.56 and 155.10
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.