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Finding the Fourth Proportional to 505.38, 697.34 and 284.28

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Solution

The fourth proportional to 505.38, 697.34 and 284.28 is: 392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.38 : 697.34 = 284.28 : x
  2. Step 2: Convert to fraction form
    505.38/697.34 = 284.28/x
  3. Step 3: Cross multiply
    505.38x = 697.34 × 284.28
  4. Step 4: Simplify right side
    505.38x = 198,239.82
  5. Step 5: Solve for x
    x = 198,239.82/505.38
  6. Step 6: Final answer
    x = 392.26

Related Problems

Find fourth proportional to 252.69, 348.67 and 142.14
Half scale
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Double scale
Find fourth proportional to 506.38, 698.72 and 285.28
Similar ratio
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1.5x scale

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.