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Finding the Fourth Proportional to 875.60, 1,315.48 and 874.24

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Solution

The fourth proportional to 875.60, 1,315.48 and 874.24 is: 1,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.60 : 1,315.48 = 874.24 : x
  2. Step 2: Convert to fraction form
    875.60/1,315.48 = 874.24/x
  3. Step 3: Cross multiply
    875.60x = 1,315.48 × 874.24
  4. Step 4: Simplify right side
    875.60x = 1,150,045.24
  5. Step 5: Solve for x
    x = 1,150,045.24/875.60
  6. Step 6: Final answer
    x = 1,313.44

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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.