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Finding the Fourth Proportional to 1,006.07, 1,509.74 and 428.95

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Solution

The fourth proportional to 1,006.07, 1,509.74 and 428.95 is: 643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.07 : 1,509.74 = 428.95 : x
  2. Step 2: Convert to fraction form
    1,006.07/1,509.74 = 428.95/x
  3. Step 3: Cross multiply
    1,006.07x = 1,509.74 × 428.95
  4. Step 4: Simplify right side
    1,006.07x = 647,593.28
  5. Step 5: Solve for x
    x = 647,593.28/1,006.07
  6. Step 6: Final answer
    x = 643.69

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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.