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Finding the Fourth Proportional to 846.86, 1,169.13 and 567.51

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Solution

The fourth proportional to 846.86, 1,169.13 and 567.51 is: 783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.86 : 1,169.13 = 567.51 : x
  2. Step 2: Convert to fraction form
    846.86/1,169.13 = 567.51/x
  3. Step 3: Cross multiply
    846.86x = 1,169.13 × 567.51
  4. Step 4: Simplify right side
    846.86x = 663,490.71
  5. Step 5: Solve for x
    x = 663,490.71/846.86
  6. Step 6: Final answer
    x = 783.48

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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.