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Finding the Fourth Proportional to 984.41, 1,477.52 and 497.80

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Solution

The fourth proportional to 984.41, 1,477.52 and 497.80 is: 747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.41 : 1,477.52 = 497.80 : x
  2. Step 2: Convert to fraction form
    984.41/1,477.52 = 497.80/x
  3. Step 3: Cross multiply
    984.41x = 1,477.52 × 497.80
  4. Step 4: Simplify right side
    984.41x = 735,509.46
  5. Step 5: Solve for x
    x = 735,509.46/984.41
  6. Step 6: Final answer
    x = 747.16

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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.