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Finding the Fourth Proportional to 931.05, 1,283.45 and 581.13

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Solution

The fourth proportional to 931.05, 1,283.45 and 581.13 is: 801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.05 : 1,283.45 = 581.13 : x
  2. Step 2: Convert to fraction form
    931.05/1,283.45 = 581.13/x
  3. Step 3: Cross multiply
    931.05x = 1,283.45 × 581.13
  4. Step 4: Simplify right side
    931.05x = 745,848.39
  5. Step 5: Solve for x
    x = 745,848.39/931.05
  6. Step 6: Final answer
    x = 801.08

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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.