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Finding the Fourth Proportional to 1,055.91, 1,457.49 and 724.80

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Solution

The fourth proportional to 1,055.91, 1,457.49 and 724.80 is: 1,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.91 : 1,457.49 = 724.80 : x
  2. Step 2: Convert to fraction form
    1,055.91/1,457.49 = 724.80/x
  3. Step 3: Cross multiply
    1,055.91x = 1,457.49 × 724.80
  4. Step 4: Simplify right side
    1,055.91x = 1,056,388.75
  5. Step 5: Solve for x
    x = 1,056,388.75/1,055.91
  6. Step 6: Final answer
    x = 1,000.45

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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.