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Finding the Fourth Proportional to 566.76, 782.19 and 345.73

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Solution

The fourth proportional to 566.76, 782.19 and 345.73 is: 477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.76 : 782.19 = 345.73 : x
  2. Step 2: Convert to fraction form
    566.76/782.19 = 345.73/x
  3. Step 3: Cross multiply
    566.76x = 782.19 × 345.73
  4. Step 4: Simplify right side
    566.76x = 270,426.55
  5. Step 5: Solve for x
    x = 270,426.55/566.76
  6. Step 6: Final answer
    x = 477.14

Related Problems

Find fourth proportional to 283.38, 391.10 and 172.87
Half scale
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Double scale
Find fourth proportional to 567.76, 783.57 and 346.73
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.