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Finding the Fourth Proportional to 675.10, 933.86 and 631.02

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Solution

The fourth proportional to 675.10, 933.86 and 631.02 is: 872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.10 : 933.86 = 631.02 : x
  2. Step 2: Convert to fraction form
    675.10/933.86 = 631.02/x
  3. Step 3: Cross multiply
    675.10x = 933.86 × 631.02
  4. Step 4: Simplify right side
    675.10x = 589,289.42
  5. Step 5: Solve for x
    x = 589,289.42/675.10
  6. Step 6: Final answer
    x = 872.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.