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Finding the Fourth Proportional to 931.86, 1,397.70 and 282.69

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Solution

The fourth proportional to 931.86, 1,397.70 and 282.69 is: 424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.86 : 1,397.70 = 282.69 : x
  2. Step 2: Convert to fraction form
    931.86/1,397.70 = 282.69/x
  3. Step 3: Cross multiply
    931.86x = 1,397.70 × 282.69
  4. Step 4: Simplify right side
    931.86x = 395,115.81
  5. Step 5: Solve for x
    x = 395,115.81/931.86
  6. Step 6: Final answer
    x = 424.01

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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.