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Finding the Fourth Proportional to 1,478.76, 2,041.26 and 1,006.44

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Solution

The fourth proportional to 1,478.76, 2,041.26 and 1,006.44 is: 1,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.76 : 2,041.26 = 1,006.44 : x
  2. Step 2: Convert to fraction form
    1,478.76/2,041.26 = 1,006.44/x
  3. Step 3: Cross multiply
    1,478.76x = 2,041.26 × 1,006.44
  4. Step 4: Simplify right side
    1,478.76x = 2,054,405.71
  5. Step 5: Solve for x
    x = 2,054,405.71/1,478.76
  6. Step 6: Final answer
    x = 1,389.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.