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Finding the Fourth Proportional to 961.99, 1,444.73 and 500.10

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Solution

The fourth proportional to 961.99, 1,444.73 and 500.10 is: 751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.99 : 1,444.73 = 500.10 : x
  2. Step 2: Convert to fraction form
    961.99/1,444.73 = 500.10/x
  3. Step 3: Cross multiply
    961.99x = 1,444.73 × 500.10
  4. Step 4: Simplify right side
    961.99x = 722,509.47
  5. Step 5: Solve for x
    x = 722,509.47/961.99
  6. Step 6: Final answer
    x = 751.06

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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.