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Finding the Fourth Proportional to 504.56, 696.30 and 294.77

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Solution

The fourth proportional to 504.56, 696.30 and 294.77 is: 406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.56 : 696.30 = 294.77 : x
  2. Step 2: Convert to fraction form
    504.56/696.30 = 294.77/x
  3. Step 3: Cross multiply
    504.56x = 696.30 × 294.77
  4. Step 4: Simplify right side
    504.56x = 205,244.87
  5. Step 5: Solve for x
    x = 205,244.87/504.56
  6. Step 6: Final answer
    x = 406.78

Related Problems

Find fourth proportional to 252.28, 348.15 and 147.38
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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.