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Finding the Fourth Proportional to 561.04, 772.52 and 405.52

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Solution

The fourth proportional to 561.04, 772.52 and 405.52 is: 558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.04 : 772.52 = 405.52 : x
  2. Step 2: Convert to fraction form
    561.04/772.52 = 405.52/x
  3. Step 3: Cross multiply
    561.04x = 772.52 × 405.52
  4. Step 4: Simplify right side
    561.04x = 313,272.31
  5. Step 5: Solve for x
    x = 313,272.31/561.04
  6. Step 6: Final answer
    x = 558.38

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1.5x scale

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.