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Finding the Fourth Proportional to 561.42, 839.86 and 503.08

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Solution

The fourth proportional to 561.42, 839.86 and 503.08 is: 752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.42 : 839.86 = 503.08 : x
  2. Step 2: Convert to fraction form
    561.42/839.86 = 503.08/x
  3. Step 3: Cross multiply
    561.42x = 839.86 × 503.08
  4. Step 4: Simplify right side
    561.42x = 422,513.41
  5. Step 5: Solve for x
    x = 422,513.41/561.42
  6. Step 6: Final answer
    x = 752.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.