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Finding the Fourth Proportional to 597.81, 897.80 and 572.30

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Solution

The fourth proportional to 597.81, 897.80 and 572.30 is: 859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.81 : 897.80 = 572.30 : x
  2. Step 2: Convert to fraction form
    597.81/897.80 = 572.30/x
  3. Step 3: Cross multiply
    597.81x = 897.80 × 572.30
  4. Step 4: Simplify right side
    597.81x = 513,803.59
  5. Step 5: Solve for x
    x = 513,803.59/597.81
  6. Step 6: Final answer
    x = 859.48

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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.