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Finding the Fourth Proportional to 558.77, 772.24 and 434.30

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Solution

The fourth proportional to 558.77, 772.24 and 434.30 is: 600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.77 : 772.24 = 434.30 : x
  2. Step 2: Convert to fraction form
    558.77/772.24 = 434.30/x
  3. Step 3: Cross multiply
    558.77x = 772.24 × 434.30
  4. Step 4: Simplify right side
    558.77x = 335,382.99
  5. Step 5: Solve for x
    x = 335,382.99/558.77
  6. Step 6: Final answer
    x = 600.22

Related Problems

Find fourth proportional to 279.38, 386.12 and 217.15
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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.