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Finding the Fourth Proportional to 931.65, 1,394.91 and 565.53

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Solution

The fourth proportional to 931.65, 1,394.91 and 565.53 is: 846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.65 : 1,394.91 = 565.53 : x
  2. Step 2: Convert to fraction form
    931.65/1,394.91 = 565.53/x
  3. Step 3: Cross multiply
    931.65x = 1,394.91 × 565.53
  4. Step 4: Simplify right side
    931.65x = 788,863.45
  5. Step 5: Solve for x
    x = 788,863.45/931.65
  6. Step 6: Final answer
    x = 846.74

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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.