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Finding the Fourth Proportional to 566.86, 782.36 and 330.76

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Solution

The fourth proportional to 566.86, 782.36 and 330.76 is: 456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.86 : 782.36 = 330.76 : x
  2. Step 2: Convert to fraction form
    566.86/782.36 = 330.76/x
  3. Step 3: Cross multiply
    566.86x = 782.36 × 330.76
  4. Step 4: Simplify right side
    566.86x = 258,773.39
  5. Step 5: Solve for x
    x = 258,773.39/566.86
  6. Step 6: Final answer
    x = 456.50

Related Problems

Find fourth proportional to 283.43, 391.18 and 165.38
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.