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Finding the Fourth Proportional to 875.32, 1,313.90 and 644.48

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Solution

The fourth proportional to 875.32, 1,313.90 and 644.48 is: 967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.32 : 1,313.90 = 644.48 : x
  2. Step 2: Convert to fraction form
    875.32/1,313.90 = 644.48/x
  3. Step 3: Cross multiply
    875.32x = 1,313.90 × 644.48
  4. Step 4: Simplify right side
    875.32x = 846,782.27
  5. Step 5: Solve for x
    x = 846,782.27/875.32
  6. Step 6: Final answer
    x = 967.40

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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.