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Finding the Fourth Proportional to 559.77, 842.64 and 430.49

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Solution

The fourth proportional to 559.77, 842.64 and 430.49 is: 648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.77 : 842.64 = 430.49 : x
  2. Step 2: Convert to fraction form
    559.77/842.64 = 430.49/x
  3. Step 3: Cross multiply
    559.77x = 842.64 × 430.49
  4. Step 4: Simplify right side
    559.77x = 362,743.88
  5. Step 5: Solve for x
    x = 362,743.88/559.77
  6. Step 6: Final answer
    x = 648.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.