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Finding the Fourth Proportional to 931.07, 1,284.80 and 538.08

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Solution

The fourth proportional to 931.07, 1,284.80 and 538.08 is: 742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.07 : 1,284.80 = 538.08 : x
  2. Step 2: Convert to fraction form
    931.07/1,284.80 = 538.08/x
  3. Step 3: Cross multiply
    931.07x = 1,284.80 × 538.08
  4. Step 4: Simplify right side
    931.07x = 691,325.18
  5. Step 5: Solve for x
    x = 691,325.18/931.07
  6. Step 6: Final answer
    x = 742.51

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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.