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Finding the Fourth Proportional to 561.60, 774.77 and 428.76

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Solution

The fourth proportional to 561.60, 774.77 and 428.76 is: 591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.60 : 774.77 = 428.76 : x
  2. Step 2: Convert to fraction form
    561.60/774.77 = 428.76/x
  3. Step 3: Cross multiply
    561.60x = 774.77 × 428.76
  4. Step 4: Simplify right side
    561.60x = 332,188.24
  5. Step 5: Solve for x
    x = 332,188.24/561.60
  6. Step 6: Final answer
    x = 591.50

Related Problems

Find fourth proportional to 280.80, 387.38 and 214.38
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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.