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Finding the Fourth Proportional to 858, 1,182.64 and 671.16

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Solution

The fourth proportional to 858, 1,182.64 and 671.16 is: 925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    858 : 1,182.64 = 671.16 : x
  2. Step 2: Convert to fraction form
    858/1,182.64 = 671.16/x
  3. Step 3: Cross multiply
    858x = 1,182.64 × 671.16
  4. Step 4: Simplify right side
    858x = 793,740.66
  5. Step 5: Solve for x
    x = 793,740.66/858
  6. Step 6: Final answer
    x = 925.11

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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.