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Finding the Fourth Proportional to 597.80, 897.24 and 435.80

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Solution

The fourth proportional to 597.80, 897.24 and 435.80 is: 654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.80 : 897.24 = 435.80 : x
  2. Step 2: Convert to fraction form
    597.80/897.24 = 435.80/x
  3. Step 3: Cross multiply
    597.80x = 897.24 × 435.80
  4. Step 4: Simplify right side
    597.80x = 391,017.19
  5. Step 5: Solve for x
    x = 391,017.19/597.80
  6. Step 6: Final answer
    x = 654.09

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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.