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Finding the Fourth Proportional to 599.86, 897.90 and 435.21

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Solution

The fourth proportional to 599.86, 897.90 and 435.21 is: 651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.86 : 897.90 = 435.21 : x
  2. Step 2: Convert to fraction form
    599.86/897.90 = 435.21/x
  3. Step 3: Cross multiply
    599.86x = 897.90 × 435.21
  4. Step 4: Simplify right side
    599.86x = 390,775.06
  5. Step 5: Solve for x
    x = 390,775.06/599.86
  6. Step 6: Final answer
    x = 651.44

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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.