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Finding the Fourth Proportional to 598.13, 897.56 and 256.13

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Solution

The fourth proportional to 598.13, 897.56 and 256.13 is: 384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.13 : 897.56 = 256.13 : x
  2. Step 2: Convert to fraction form
    598.13/897.56 = 256.13/x
  3. Step 3: Cross multiply
    598.13x = 897.56 × 256.13
  4. Step 4: Simplify right side
    598.13x = 229,892.04
  5. Step 5: Solve for x
    x = 229,892.04/598.13
  6. Step 6: Final answer
    x = 384.35

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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.