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Finding the Fourth Proportional to 566.76, 781.86 and 357.12

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Solution

The fourth proportional to 566.76, 781.86 and 357.12 is: 492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.76 : 781.86 = 357.12 : x
  2. Step 2: Convert to fraction form
    566.76/781.86 = 357.12/x
  3. Step 3: Cross multiply
    566.76x = 781.86 × 357.12
  4. Step 4: Simplify right side
    566.76x = 279,217.84
  5. Step 5: Solve for x
    x = 279,217.84/566.76
  6. Step 6: Final answer
    x = 492.66

Related Problems

Find fourth proportional to 283.38, 390.93 and 178.56
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Double scale
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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.