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Finding the Fourth Proportional to 598.50, 897.75 and 256.50

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Solution

The fourth proportional to 598.50, 897.75 and 256.50 is: 384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.50 : 897.75 = 256.50 : x
  2. Step 2: Convert to fraction form
    598.50/897.75 = 256.50/x
  3. Step 3: Cross multiply
    598.50x = 897.75 × 256.50
  4. Step 4: Simplify right side
    598.50x = 230,272.88
  5. Step 5: Solve for x
    x = 230,272.88/598.50
  6. Step 6: Final answer
    x = 384.75

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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.