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Finding the Fourth Proportional to 561.51, 774.95 and 404.10

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Solution

The fourth proportional to 561.51, 774.95 and 404.10 is: 557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.51 : 774.95 = 404.10 : x
  2. Step 2: Convert to fraction form
    561.51/774.95 = 404.10/x
  3. Step 3: Cross multiply
    561.51x = 774.95 × 404.10
  4. Step 4: Simplify right side
    561.51x = 313,155.27
  5. Step 5: Solve for x
    x = 313,155.27/561.51
  6. Step 6: Final answer
    x = 557.70

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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.