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Finding the Fourth Proportional to 1,006.48, 1,509.13 and 420.85

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Solution

The fourth proportional to 1,006.48, 1,509.13 and 420.85 is: 631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.48 : 1,509.13 = 420.85 : x
  2. Step 2: Convert to fraction form
    1,006.48/1,509.13 = 420.85/x
  3. Step 3: Cross multiply
    1,006.48x = 1,509.13 × 420.85
  4. Step 4: Simplify right side
    1,006.48x = 635,117.36
  5. Step 5: Solve for x
    x = 635,117.36/1,006.48
  6. Step 6: Final answer
    x = 631.03

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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.