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Finding the Fourth Proportional to 599.78, 900.58 and 497.72

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Solution

The fourth proportional to 599.78, 900.58 and 497.72 is: 747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.78 : 900.58 = 497.72 : x
  2. Step 2: Convert to fraction form
    599.78/900.58 = 497.72/x
  3. Step 3: Cross multiply
    599.78x = 900.58 × 497.72
  4. Step 4: Simplify right side
    599.78x = 448,236.68
  5. Step 5: Solve for x
    x = 448,236.68/599.78
  6. Step 6: Final answer
    x = 747.34

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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.