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Finding the Fourth Proportional to 1,169.02, 1,746.74 and 885.70

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Solution

The fourth proportional to 1,169.02, 1,746.74 and 885.70 is: 1,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.02 : 1,746.74 = 885.70 : x
  2. Step 2: Convert to fraction form
    1,169.02/1,746.74 = 885.70/x
  3. Step 3: Cross multiply
    1,169.02x = 1,746.74 × 885.70
  4. Step 4: Simplify right side
    1,169.02x = 1,547,087.62
  5. Step 5: Solve for x
    x = 1,547,087.62/1,169.02
  6. Step 6: Final answer
    x = 1,323.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.