Home / 1,055.36-1,457.82-917.30

Finding the Fourth Proportional to 1,055.36, 1,457.82 and 917.30

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Solution

The fourth proportional to 1,055.36, 1,457.82 and 917.30 is: 1,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.36 : 1,457.82 = 917.30 : x
  2. Step 2: Convert to fraction form
    1,055.36/1,457.82 = 917.30/x
  3. Step 3: Cross multiply
    1,055.36x = 1,457.82 × 917.30
  4. Step 4: Simplify right side
    1,055.36x = 1,337,258.29
  5. Step 5: Solve for x
    x = 1,337,258.29/1,055.36
  6. Step 6: Final answer
    x = 1,267.11

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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.