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Finding the Fourth Proportional to 1,055.70, 1,457.19 and 636.39

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Solution

The fourth proportional to 1,055.70, 1,457.19 and 636.39 is: 878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.70 : 1,457.19 = 636.39 : x
  2. Step 2: Convert to fraction form
    1,055.70/1,457.19 = 636.39/x
  3. Step 3: Cross multiply
    1,055.70x = 1,457.19 × 636.39
  4. Step 4: Simplify right side
    1,055.70x = 927,341.14
  5. Step 5: Solve for x
    x = 927,341.14/1,055.70
  6. Step 6: Final answer
    x = 878.41

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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.