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Finding the Fourth Proportional to 1,002.58, 1,503.93 and 309.27

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Solution

The fourth proportional to 1,002.58, 1,503.93 and 309.27 is: 463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.58 : 1,503.93 = 309.27 : x
  2. Step 2: Convert to fraction form
    1,002.58/1,503.93 = 309.27/x
  3. Step 3: Cross multiply
    1,002.58x = 1,503.93 × 309.27
  4. Step 4: Simplify right side
    1,002.58x = 465,118.77
  5. Step 5: Solve for x
    x = 465,118.77/1,002.58
  6. Step 6: Final answer
    x = 463.92

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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.