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Finding the Fourth Proportional to 875.10, 1,310.53 and 601.12

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Solution

The fourth proportional to 875.10, 1,310.53 and 601.12 is: 900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.10 : 1,310.53 = 601.12 : x
  2. Step 2: Convert to fraction form
    875.10/1,310.53 = 601.12/x
  3. Step 3: Cross multiply
    875.10x = 1,310.53 × 601.12
  4. Step 4: Simplify right side
    875.10x = 787,787.06
  5. Step 5: Solve for x
    x = 787,787.06/875.10
  6. Step 6: Final answer
    x = 900.22

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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.