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Finding the Fourth Proportional to 560.99, 773.55 and 419.24

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Solution

The fourth proportional to 560.99, 773.55 and 419.24 is: 578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.99 : 773.55 = 419.24 : x
  2. Step 2: Convert to fraction form
    560.99/773.55 = 419.24/x
  3. Step 3: Cross multiply
    560.99x = 773.55 × 419.24
  4. Step 4: Simplify right side
    560.99x = 324,305.04
  5. Step 5: Solve for x
    x = 324,305.04/560.99
  6. Step 6: Final answer
    x = 578.09

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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.