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Finding the Fourth Proportional to 552.76, 761.95 and 412.67

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Solution

The fourth proportional to 552.76, 761.95 and 412.67 is: 568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.76 : 761.95 = 412.67 : x
  2. Step 2: Convert to fraction form
    552.76/761.95 = 412.67/x
  3. Step 3: Cross multiply
    552.76x = 761.95 × 412.67
  4. Step 4: Simplify right side
    552.76x = 314,430.61
  5. Step 5: Solve for x
    x = 314,430.61/552.76
  6. Step 6: Final answer
    x = 568.84

Related Problems

Find fourth proportional to 276.38, 380.98 and 206.33
Half scale
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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.