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Finding the Fourth Proportional to 1,023.60, 1,411.41 and 744.77

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Solution

The fourth proportional to 1,023.60, 1,411.41 and 744.77 is: 1,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.60 : 1,411.41 = 744.77 : x
  2. Step 2: Convert to fraction form
    1,023.60/1,411.41 = 744.77/x
  3. Step 3: Cross multiply
    1,023.60x = 1,411.41 × 744.77
  4. Step 4: Simplify right side
    1,023.60x = 1,051,168.77
  5. Step 5: Solve for x
    x = 1,051,168.77/1,023.60
  6. Step 6: Final answer
    x = 1,026.93

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Half scale
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Double scale
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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.