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Finding the Fourth Proportional to 718.53, 1,077.81 and 307.09

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Solution

The fourth proportional to 718.53, 1,077.81 and 307.09 is: 460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.53 : 1,077.81 = 307.09 : x
  2. Step 2: Convert to fraction form
    718.53/1,077.81 = 307.09/x
  3. Step 3: Cross multiply
    718.53x = 1,077.81 × 307.09
  4. Step 4: Simplify right side
    718.53x = 330,984.67
  5. Step 5: Solve for x
    x = 330,984.67/718.53
  6. Step 6: Final answer
    x = 460.64

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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.