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Finding the Fourth Proportional to 841.79, 1,162.35 and 655.09

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Solution

The fourth proportional to 841.79, 1,162.35 and 655.09 is: 904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.79 : 1,162.35 = 655.09 : x
  2. Step 2: Convert to fraction form
    841.79/1,162.35 = 655.09/x
  3. Step 3: Cross multiply
    841.79x = 1,162.35 × 655.09
  4. Step 4: Simplify right side
    841.79x = 761,440.96
  5. Step 5: Solve for x
    x = 761,440.96/841.79
  6. Step 6: Final answer
    x = 904.55

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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.