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Finding the Fourth Proportional to 1,006.95, 1,508.81 and 421.46

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Solution

The fourth proportional to 1,006.95, 1,508.81 and 421.46 is: 631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.95 : 1,508.81 = 421.46 : x
  2. Step 2: Convert to fraction form
    1,006.95/1,508.81 = 421.46/x
  3. Step 3: Cross multiply
    1,006.95x = 1,508.81 × 421.46
  4. Step 4: Simplify right side
    1,006.95x = 635,893.41
  5. Step 5: Solve for x
    x = 635,893.41/1,006.95
  6. Step 6: Final answer
    x = 631.50

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1.5x scale

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.