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Finding the Fourth Proportional to 506.52, 698.94 and 428.76

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Solution

The fourth proportional to 506.52, 698.94 and 428.76 is: 591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.52 : 698.94 = 428.76 : x
  2. Step 2: Convert to fraction form
    506.52/698.94 = 428.76/x
  3. Step 3: Cross multiply
    506.52x = 698.94 × 428.76
  4. Step 4: Simplify right side
    506.52x = 299,677.51
  5. Step 5: Solve for x
    x = 299,677.51/506.52
  6. Step 6: Final answer
    x = 591.64

Related Problems

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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.