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Finding the Fourth Proportional to 931, 1,281.06 and 899.08

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Solution

The fourth proportional to 931, 1,281.06 and 899.08 is: 1,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    931 : 1,281.06 = 899.08 : x
  2. Step 2: Convert to fraction form
    931/1,281.06 = 899.08/x
  3. Step 3: Cross multiply
    931x = 1,281.06 × 899.08
  4. Step 4: Simplify right side
    931x = 1,151,775.42
  5. Step 5: Solve for x
    x = 1,151,775.42/931
  6. Step 6: Final answer
    x = 1,237.14

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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.