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Finding the Fourth Proportional to 1,210.41, 1,815.48 and 968.40

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Solution

The fourth proportional to 1,210.41, 1,815.48 and 968.40 is: 1,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.41 : 1,815.48 = 968.40 : x
  2. Step 2: Convert to fraction form
    1,210.41/1,815.48 = 968.40/x
  3. Step 3: Cross multiply
    1,210.41x = 1,815.48 × 968.40
  4. Step 4: Simplify right side
    1,210.41x = 1,758,110.83
  5. Step 5: Solve for x
    x = 1,758,110.83/1,210.41
  6. Step 6: Final answer
    x = 1,452.49

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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.