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Finding the Fourth Proportional to 875.67, 1,312.28 and 631.05

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Solution

The fourth proportional to 875.67, 1,312.28 and 631.05 is: 945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.67 : 1,312.28 = 631.05 : x
  2. Step 2: Convert to fraction form
    875.67/1,312.28 = 631.05/x
  3. Step 3: Cross multiply
    875.67x = 1,312.28 × 631.05
  4. Step 4: Simplify right side
    875.67x = 828,114.29
  5. Step 5: Solve for x
    x = 828,114.29/875.67
  6. Step 6: Final answer
    x = 945.69

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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.