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Finding the Fourth Proportional to 576.78, 793.26 and 503.16

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Solution

The fourth proportional to 576.78, 793.26 and 503.16 is: 692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.78 : 793.26 = 503.16 : x
  2. Step 2: Convert to fraction form
    576.78/793.26 = 503.16/x
  3. Step 3: Cross multiply
    576.78x = 793.26 × 503.16
  4. Step 4: Simplify right side
    576.78x = 399,136.70
  5. Step 5: Solve for x
    x = 399,136.70/576.78
  6. Step 6: Final answer
    x = 692.01

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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.