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Finding the Fourth Proportional to 566.18, 777.98 and 461.01

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Solution

The fourth proportional to 566.18, 777.98 and 461.01 is: 633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.18 : 777.98 = 461.01 : x
  2. Step 2: Convert to fraction form
    566.18/777.98 = 461.01/x
  3. Step 3: Cross multiply
    566.18x = 777.98 × 461.01
  4. Step 4: Simplify right side
    566.18x = 358,654.25
  5. Step 5: Solve for x
    x = 358,654.25/566.18
  6. Step 6: Final answer
    x = 633.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.