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Finding the Fourth Proportional to 990.02, 1,484.42 and 503.41

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Solution

The fourth proportional to 990.02, 1,484.42 and 503.41 is: 754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.02 : 1,484.42 = 503.41 : x
  2. Step 2: Convert to fraction form
    990.02/1,484.42 = 503.41/x
  3. Step 3: Cross multiply
    990.02x = 1,484.42 × 503.41
  4. Step 4: Simplify right side
    990.02x = 747,271.87
  5. Step 5: Solve for x
    x = 747,271.87/990.02
  6. Step 6: Final answer
    x = 754.80

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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.