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Finding the Fourth Proportional to 848.17, 1,170.66 and 494.15

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Solution

The fourth proportional to 848.17, 1,170.66 and 494.15 is: 682.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.17 : 1,170.66 = 494.15 : x
  2. Step 2: Convert to fraction form
    848.17/1,170.66 = 494.15/x
  3. Step 3: Cross multiply
    848.17x = 1,170.66 × 494.15
  4. Step 4: Simplify right side
    848.17x = 578,482.83
  5. Step 5: Solve for x
    x = 578,482.83/848.17
  6. Step 6: Final answer
    x = 682.04

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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.