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Finding the Fourth Proportional to 1,089.91, 1,503.91 and 617.68

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Solution

The fourth proportional to 1,089.91, 1,503.91 and 617.68 is: 852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.91 : 1,503.91 = 617.68 : x
  2. Step 2: Convert to fraction form
    1,089.91/1,503.91 = 617.68/x
  3. Step 3: Cross multiply
    1,089.91x = 1,503.91 × 617.68
  4. Step 4: Simplify right side
    1,089.91x = 928,935.13
  5. Step 5: Solve for x
    x = 928,935.13/1,089.91
  6. Step 6: Final answer
    x = 852.30

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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.