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Finding the Fourth Proportional to 1,050.79, 1,577.63 and 588.86

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Solution

The fourth proportional to 1,050.79, 1,577.63 and 588.86 is: 884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.79 : 1,577.63 = 588.86 : x
  2. Step 2: Convert to fraction form
    1,050.79/1,577.63 = 588.86/x
  3. Step 3: Cross multiply
    1,050.79x = 1,577.63 × 588.86
  4. Step 4: Simplify right side
    1,050.79x = 929,003.20
  5. Step 5: Solve for x
    x = 929,003.20/1,050.79
  6. Step 6: Final answer
    x = 884.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.