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Finding the Fourth Proportional to 1,033.75, 1,547.01 and 846.49

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Solution

The fourth proportional to 1,033.75, 1,547.01 and 846.49 is: 1,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.75 : 1,547.01 = 846.49 : x
  2. Step 2: Convert to fraction form
    1,033.75/1,547.01 = 846.49/x
  3. Step 3: Cross multiply
    1,033.75x = 1,547.01 × 846.49
  4. Step 4: Simplify right side
    1,033.75x = 1,309,520.76
  5. Step 5: Solve for x
    x = 1,309,520.76/1,033.75
  6. Step 6: Final answer
    x = 1,266.77

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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.