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Finding the Fourth Proportional to 1,057.69, 1,459.63 and 585.55

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Solution

The fourth proportional to 1,057.69, 1,459.63 and 585.55 is: 808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.69 : 1,459.63 = 585.55 : x
  2. Step 2: Convert to fraction form
    1,057.69/1,459.63 = 585.55/x
  3. Step 3: Cross multiply
    1,057.69x = 1,459.63 × 585.55
  4. Step 4: Simplify right side
    1,057.69x = 854,686.35
  5. Step 5: Solve for x
    x = 854,686.35/1,057.69
  6. Step 6: Final answer
    x = 808.07

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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.