Home / 1,057.30-1,459.14-916.36

Finding the Fourth Proportional to 1,057.30, 1,459.14 and 916.36

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Solution

The fourth proportional to 1,057.30, 1,459.14 and 916.36 is: 1,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.30 : 1,459.14 = 916.36 : x
  2. Step 2: Convert to fraction form
    1,057.30/1,459.14 = 916.36/x
  3. Step 3: Cross multiply
    1,057.30x = 1,459.14 × 916.36
  4. Step 4: Simplify right side
    1,057.30x = 1,337,097.53
  5. Step 5: Solve for x
    x = 1,337,097.53/1,057.30
  6. Step 6: Final answer
    x = 1,264.63

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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.