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Finding the Fourth Proportional to 599.69, 901.31 and 497.63

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Solution

The fourth proportional to 599.69, 901.31 and 497.63 is: 747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.69 : 901.31 = 497.63 : x
  2. Step 2: Convert to fraction form
    599.69/901.31 = 497.63/x
  3. Step 3: Cross multiply
    599.69x = 901.31 × 497.63
  4. Step 4: Simplify right side
    599.69x = 448,518.66
  5. Step 5: Solve for x
    x = 448,518.66/599.69
  6. Step 6: Final answer
    x = 747.91

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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.