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Finding the Fourth Proportional to 841.82, 1,162.08 and 581.13

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Solution

The fourth proportional to 841.82, 1,162.08 and 581.13 is: 802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.82 : 1,162.08 = 581.13 : x
  2. Step 2: Convert to fraction form
    841.82/1,162.08 = 581.13/x
  3. Step 3: Cross multiply
    841.82x = 1,162.08 × 581.13
  4. Step 4: Simplify right side
    841.82x = 675,319.55
  5. Step 5: Solve for x
    x = 675,319.55/841.82
  6. Step 6: Final answer
    x = 802.22

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1.5x scale

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.