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Finding the Fourth Proportional to 931.07, 1,395.07 and 655.82

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Solution

The fourth proportional to 931.07, 1,395.07 and 655.82 is: 982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.07 : 1,395.07 = 655.82 : x
  2. Step 2: Convert to fraction form
    931.07/1,395.07 = 655.82/x
  3. Step 3: Cross multiply
    931.07x = 1,395.07 × 655.82
  4. Step 4: Simplify right side
    931.07x = 914,914.81
  5. Step 5: Solve for x
    x = 914,914.81/931.07
  6. Step 6: Final answer
    x = 982.65

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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.