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Finding the Fourth Proportional to 841.48, 1,253.68 and 800.16

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Solution

The fourth proportional to 841.48, 1,253.68 and 800.16 is: 1,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.48 : 1,253.68 = 800.16 : x
  2. Step 2: Convert to fraction form
    841.48/1,253.68 = 800.16/x
  3. Step 3: Cross multiply
    841.48x = 1,253.68 × 800.16
  4. Step 4: Simplify right side
    841.48x = 1,003,144.59
  5. Step 5: Solve for x
    x = 1,003,144.59/841.48
  6. Step 6: Final answer
    x = 1,192.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.