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Finding the Fourth Proportional to 581.42, 800.46 and 503.78

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Solution

The fourth proportional to 581.42, 800.46 and 503.78 is: 693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.42 : 800.46 = 503.78 : x
  2. Step 2: Convert to fraction form
    581.42/800.46 = 503.78/x
  3. Step 3: Cross multiply
    581.42x = 800.46 × 503.78
  4. Step 4: Simplify right side
    581.42x = 403,255.74
  5. Step 5: Solve for x
    x = 403,255.74/581.42
  6. Step 6: Final answer
    x = 693.57

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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.