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Finding the Fourth Proportional to 566.78, 782.11 and 330.74

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Solution

The fourth proportional to 566.78, 782.11 and 330.74 is: 456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.78 : 782.11 = 330.74 : x
  2. Step 2: Convert to fraction form
    566.78/782.11 = 330.74/x
  3. Step 3: Cross multiply
    566.78x = 782.11 × 330.74
  4. Step 4: Simplify right side
    566.78x = 258,675.06
  5. Step 5: Solve for x
    x = 258,675.06/566.78
  6. Step 6: Final answer
    x = 456.39

Related Problems

Find fourth proportional to 283.39, 391.06 and 165.37
Half scale
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Double scale
Find fourth proportional to 567.78, 783.49 and 331.74
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.