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Finding the Fourth Proportional to 848.90, 1,170.81 and 569.04

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Solution

The fourth proportional to 848.90, 1,170.81 and 569.04 is: 784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.90 : 1,170.81 = 569.04 : x
  2. Step 2: Convert to fraction form
    848.90/1,170.81 = 569.04/x
  3. Step 3: Cross multiply
    848.90x = 1,170.81 × 569.04
  4. Step 4: Simplify right side
    848.90x = 666,237.72
  5. Step 5: Solve for x
    x = 666,237.72/848.90
  6. Step 6: Final answer
    x = 784.83

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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.