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Finding the Fourth Proportional to 557.72, 769.62 and 382.76

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Solution

The fourth proportional to 557.72, 769.62 and 382.76 is: 528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.72 : 769.62 = 382.76 : x
  2. Step 2: Convert to fraction form
    557.72/769.62 = 382.76/x
  3. Step 3: Cross multiply
    557.72x = 769.62 × 382.76
  4. Step 4: Simplify right side
    557.72x = 294,579.75
  5. Step 5: Solve for x
    x = 294,579.75/557.72
  6. Step 6: Final answer
    x = 528.19

Related Problems

Find fourth proportional to 278.86, 384.81 and 191.38
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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.