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Finding the Fourth Proportional to 1,019.58, 1,407 and 577.47

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Solution

The fourth proportional to 1,019.58, 1,407 and 577.47 is: 796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.58 : 1,407 = 577.47 : x
  2. Step 2: Convert to fraction form
    1,019.58/1,407 = 577.47/x
  3. Step 3: Cross multiply
    1,019.58x = 1,407 × 577.47
  4. Step 4: Simplify right side
    1,019.58x = 812,500.29
  5. Step 5: Solve for x
    x = 812,500.29/1,019.58
  6. Step 6: Final answer
    x = 796.90

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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.