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Finding the Fourth Proportional to 846.51, 1,270.94 and 585.87

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Solution

The fourth proportional to 846.51, 1,270.94 and 585.87 is: 879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.51 : 1,270.94 = 585.87 : x
  2. Step 2: Convert to fraction form
    846.51/1,270.94 = 585.87/x
  3. Step 3: Cross multiply
    846.51x = 1,270.94 × 585.87
  4. Step 4: Simplify right side
    846.51x = 744,602.69
  5. Step 5: Solve for x
    x = 744,602.69/846.51
  6. Step 6: Final answer
    x = 879.61

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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.