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Finding the Fourth Proportional to 561.69, 838.85 and 478.53

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Solution

The fourth proportional to 561.69, 838.85 and 478.53 is: 714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.69 : 838.85 = 478.53 : x
  2. Step 2: Convert to fraction form
    561.69/838.85 = 478.53/x
  3. Step 3: Cross multiply
    561.69x = 838.85 × 478.53
  4. Step 4: Simplify right side
    561.69x = 401,412.50
  5. Step 5: Solve for x
    x = 401,412.50/561.69
  6. Step 6: Final answer
    x = 714.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.