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Finding the Fourth Proportional to 984.59, 1,477.81 and 497.99

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Solution

The fourth proportional to 984.59, 1,477.81 and 497.99 is: 747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.59 : 1,477.81 = 497.99 : x
  2. Step 2: Convert to fraction form
    984.59/1,477.81 = 497.99/x
  3. Step 3: Cross multiply
    984.59x = 1,477.81 × 497.99
  4. Step 4: Simplify right side
    984.59x = 735,924.72
  5. Step 5: Solve for x
    x = 735,924.72/984.59
  6. Step 6: Final answer
    x = 747.44

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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.