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Finding the Fourth Proportional to 880.18, 1,214.70 and 507.07

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Solution

The fourth proportional to 880.18, 1,214.70 and 507.07 is: 699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.18 : 1,214.70 = 507.07 : x
  2. Step 2: Convert to fraction form
    880.18/1,214.70 = 507.07/x
  3. Step 3: Cross multiply
    880.18x = 1,214.70 × 507.07
  4. Step 4: Simplify right side
    880.18x = 615,937.93
  5. Step 5: Solve for x
    x = 615,937.93/880.18
  6. Step 6: Final answer
    x = 699.79

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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.