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Finding the Fourth Proportional to 1,057.13, 1,459.16 and 684.10

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Solution

The fourth proportional to 1,057.13, 1,459.16 and 684.10 is: 944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.13 : 1,459.16 = 684.10 : x
  2. Step 2: Convert to fraction form
    1,057.13/1,459.16 = 684.10/x
  3. Step 3: Cross multiply
    1,057.13x = 1,459.16 × 684.10
  4. Step 4: Simplify right side
    1,057.13x = 998,207.94
  5. Step 5: Solve for x
    x = 998,207.94/1,057.13
  6. Step 6: Final answer
    x = 944.26

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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.