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Finding the Fourth Proportional to 506.57, 699.05 and 340.76

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Solution

The fourth proportional to 506.57, 699.05 and 340.76 is: 470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.57 : 699.05 = 340.76 : x
  2. Step 2: Convert to fraction form
    506.57/699.05 = 340.76/x
  3. Step 3: Cross multiply
    506.57x = 699.05 × 340.76
  4. Step 4: Simplify right side
    506.57x = 238,203.08
  5. Step 5: Solve for x
    x = 238,203.08/506.57
  6. Step 6: Final answer
    x = 470.23

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Find fourth proportional to 253.28, 349.52 and 170.38
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Double scale
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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.