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Finding the Fourth Proportional to 1,370.93, 2,055.95 and 446.24

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Solution

The fourth proportional to 1,370.93, 2,055.95 and 446.24 is: 669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.93 : 2,055.95 = 446.24 : x
  2. Step 2: Convert to fraction form
    1,370.93/2,055.95 = 446.24/x
  3. Step 3: Cross multiply
    1,370.93x = 2,055.95 × 446.24
  4. Step 4: Simplify right side
    1,370.93x = 917,451.71
  5. Step 5: Solve for x
    x = 917,451.71/1,370.93
  6. Step 6: Final answer
    x = 669.22

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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.