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Finding the Fourth Proportional to 787.10, 1,180.65 and 353.75

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Solution

The fourth proportional to 787.10, 1,180.65 and 353.75 is: 530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.10 : 1,180.65 = 353.75 : x
  2. Step 2: Convert to fraction form
    787.10/1,180.65 = 353.75/x
  3. Step 3: Cross multiply
    787.10x = 1,180.65 × 353.75
  4. Step 4: Simplify right side
    787.10x = 417,656.01
  5. Step 5: Solve for x
    x = 417,656.01/787.10
  6. Step 6: Final answer
    x = 530.63

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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.