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Finding the Fourth Proportional to 846.47, 1,167.90 and 566.51

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Solution

The fourth proportional to 846.47, 1,167.90 and 566.51 is: 781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.47 : 1,167.90 = 566.51 : x
  2. Step 2: Convert to fraction form
    846.47/1,167.90 = 566.51/x
  3. Step 3: Cross multiply
    846.47x = 1,167.90 × 566.51
  4. Step 4: Simplify right side
    846.47x = 661,628.82
  5. Step 5: Solve for x
    x = 661,628.82/846.47
  6. Step 6: Final answer
    x = 781.64

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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.