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Finding the Fourth Proportional to 880.12, 1,214.54 and 530.74

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Solution

The fourth proportional to 880.12, 1,214.54 and 530.74 is: 732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.12 : 1,214.54 = 530.74 : x
  2. Step 2: Convert to fraction form
    880.12/1,214.54 = 530.74/x
  3. Step 3: Cross multiply
    880.12x = 1,214.54 × 530.74
  4. Step 4: Simplify right side
    880.12x = 644,604.96
  5. Step 5: Solve for x
    x = 644,604.96/880.12
  6. Step 6: Final answer
    x = 732.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.