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Finding the Fourth Proportional to 597.64, 897.26 and 578.20

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Solution

The fourth proportional to 597.64, 897.26 and 578.20 is: 868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.64 : 897.26 = 578.20 : x
  2. Step 2: Convert to fraction form
    597.64/897.26 = 578.20/x
  3. Step 3: Cross multiply
    597.64x = 897.26 × 578.20
  4. Step 4: Simplify right side
    597.64x = 518,795.73
  5. Step 5: Solve for x
    x = 518,795.73/597.64
  6. Step 6: Final answer
    x = 868.07

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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.