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Finding the Fourth Proportional to 875.37, 1,317.12 and 694.74

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Solution

The fourth proportional to 875.37, 1,317.12 and 694.74 is: 1,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.37 : 1,317.12 = 694.74 : x
  2. Step 2: Convert to fraction form
    875.37/1,317.12 = 694.74/x
  3. Step 3: Cross multiply
    875.37x = 1,317.12 × 694.74
  4. Step 4: Simplify right side
    875.37x = 915,055.95
  5. Step 5: Solve for x
    x = 915,055.95/875.37
  6. Step 6: Final answer
    x = 1,045.34

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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.