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Finding the Fourth Proportional to 1,003.99, 1,506.21 and 354.72

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Solution

The fourth proportional to 1,003.99, 1,506.21 and 354.72 is: 532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.99 : 1,506.21 = 354.72 : x
  2. Step 2: Convert to fraction form
    1,003.99/1,506.21 = 354.72/x
  3. Step 3: Cross multiply
    1,003.99x = 1,506.21 × 354.72
  4. Step 4: Simplify right side
    1,003.99x = 534,282.81
  5. Step 5: Solve for x
    x = 534,282.81/1,003.99
  6. Step 6: Final answer
    x = 532.16

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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.