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Finding the Fourth Proportional to 1,070.84, 1,602.01 and 811.59

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Solution

The fourth proportional to 1,070.84, 1,602.01 and 811.59 is: 1,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.84 : 1,602.01 = 811.59 : x
  2. Step 2: Convert to fraction form
    1,070.84/1,602.01 = 811.59/x
  3. Step 3: Cross multiply
    1,070.84x = 1,602.01 × 811.59
  4. Step 4: Simplify right side
    1,070.84x = 1,300,175.30
  5. Step 5: Solve for x
    x = 1,300,175.30/1,070.84
  6. Step 6: Final answer
    x = 1,214.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.