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Finding the Fourth Proportional to 718.05, 1,076.16 and 307.08

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Solution

The fourth proportional to 718.05, 1,076.16 and 307.08 is: 460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.05 : 1,076.16 = 307.08 : x
  2. Step 2: Convert to fraction form
    718.05/1,076.16 = 307.08/x
  3. Step 3: Cross multiply
    718.05x = 1,076.16 × 307.08
  4. Step 4: Simplify right side
    718.05x = 330,467.21
  5. Step 5: Solve for x
    x = 330,467.21/718.05
  6. Step 6: Final answer
    x = 460.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.