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Finding the Fourth Proportional to 565.30, 779.54 and 472.02

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Solution

The fourth proportional to 565.30, 779.54 and 472.02 is: 650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.30 : 779.54 = 472.02 : x
  2. Step 2: Convert to fraction form
    565.30/779.54 = 472.02/x
  3. Step 3: Cross multiply
    565.30x = 779.54 × 472.02
  4. Step 4: Simplify right side
    565.30x = 367,953.19
  5. Step 5: Solve for x
    x = 367,953.19/565.30
  6. Step 6: Final answer
    x = 650.90

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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.