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Finding the Fourth Proportional to 776.01, 1,070.38 and 461.03

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Solution

The fourth proportional to 776.01, 1,070.38 and 461.03 is: 635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.01 : 1,070.38 = 461.03 : x
  2. Step 2: Convert to fraction form
    776.01/1,070.38 = 461.03/x
  3. Step 3: Cross multiply
    776.01x = 1,070.38 × 461.03
  4. Step 4: Simplify right side
    776.01x = 493,477.29
  5. Step 5: Solve for x
    x = 493,477.29/776.01
  6. Step 6: Final answer
    x = 635.92

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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.