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Finding the Fourth Proportional to 848.06, 1,170.35 and 516.77

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Solution

The fourth proportional to 848.06, 1,170.35 and 516.77 is: 713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.06 : 1,170.35 = 516.77 : x
  2. Step 2: Convert to fraction form
    848.06/1,170.35 = 516.77/x
  3. Step 3: Cross multiply
    848.06x = 1,170.35 × 516.77
  4. Step 4: Simplify right side
    848.06x = 604,801.77
  5. Step 5: Solve for x
    x = 604,801.77/848.06
  6. Step 6: Final answer
    x = 713.16

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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.