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Finding the Fourth Proportional to 1,057.65, 1,459.42 and 585.48

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Solution

The fourth proportional to 1,057.65, 1,459.42 and 585.48 is: 807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.65 : 1,459.42 = 585.48 : x
  2. Step 2: Convert to fraction form
    1,057.65/1,459.42 = 585.48/x
  3. Step 3: Cross multiply
    1,057.65x = 1,459.42 × 585.48
  4. Step 4: Simplify right side
    1,057.65x = 854,461.22
  5. Step 5: Solve for x
    x = 854,461.22/1,057.65
  6. Step 6: Final answer
    x = 807.89

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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.