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Finding the Fourth Proportional to 695.58, 1,041.90 and 557.88

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Solution

The fourth proportional to 695.58, 1,041.90 and 557.88 is: 835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.58 : 1,041.90 = 557.88 : x
  2. Step 2: Convert to fraction form
    695.58/1,041.90 = 557.88/x
  3. Step 3: Cross multiply
    695.58x = 1,041.90 × 557.88
  4. Step 4: Simplify right side
    695.58x = 581,255.17
  5. Step 5: Solve for x
    x = 581,255.17/695.58
  6. Step 6: Final answer
    x = 835.64

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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.