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Finding the Fourth Proportional to 566.10, 780.57 and 461.07

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Solution

The fourth proportional to 566.10, 780.57 and 461.07 is: 635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.10 : 780.57 = 461.07 : x
  2. Step 2: Convert to fraction form
    566.10/780.57 = 461.07/x
  3. Step 3: Cross multiply
    566.10x = 780.57 × 461.07
  4. Step 4: Simplify right side
    566.10x = 359,897.41
  5. Step 5: Solve for x
    x = 359,897.41/566.10
  6. Step 6: Final answer
    x = 635.75

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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.