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Finding the Fourth Proportional to 615.83, 846.29 and 587.27

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Solution

The fourth proportional to 615.83, 846.29 and 587.27 is: 807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.83 : 846.29 = 587.27 : x
  2. Step 2: Convert to fraction form
    615.83/846.29 = 587.27/x
  3. Step 3: Cross multiply
    615.83x = 846.29 × 587.27
  4. Step 4: Simplify right side
    615.83x = 497,004.31
  5. Step 5: Solve for x
    x = 497,004.31/615.83
  6. Step 6: Final answer
    x = 807.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.