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Finding the Fourth Proportional to 878.18, 1,317.12 and 438.98

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Solution

The fourth proportional to 878.18, 1,317.12 and 438.98 is: 658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.18 : 1,317.12 = 438.98 : x
  2. Step 2: Convert to fraction form
    878.18/1,317.12 = 438.98/x
  3. Step 3: Cross multiply
    878.18x = 1,317.12 × 438.98
  4. Step 4: Simplify right side
    878.18x = 578,189.34
  5. Step 5: Solve for x
    x = 578,189.34/878.18
  6. Step 6: Final answer
    x = 658.40

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1.5x scale

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.