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Finding the Fourth Proportional to 598.42, 897.54 and 478.12

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Solution

The fourth proportional to 598.42, 897.54 and 478.12 is: 717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.42 : 897.54 = 478.12 : x
  2. Step 2: Convert to fraction form
    598.42/897.54 = 478.12/x
  3. Step 3: Cross multiply
    598.42x = 897.54 × 478.12
  4. Step 4: Simplify right side
    598.42x = 429,131.82
  5. Step 5: Solve for x
    x = 429,131.82/598.42
  6. Step 6: Final answer
    x = 717.11

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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.