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Finding the Fourth Proportional to 560.05, 772.94 and 466.63

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Solution

The fourth proportional to 560.05, 772.94 and 466.63 is: 644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.05 : 772.94 = 466.63 : x
  2. Step 2: Convert to fraction form
    560.05/772.94 = 466.63/x
  3. Step 3: Cross multiply
    560.05x = 772.94 × 466.63
  4. Step 4: Simplify right side
    560.05x = 360,676.99
  5. Step 5: Solve for x
    x = 360,676.99/560.05
  6. Step 6: Final answer
    x = 644.01

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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.