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Finding the Fourth Proportional to 556.08, 832.44 and 432.52

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Solution

The fourth proportional to 556.08, 832.44 and 432.52 is: 647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.08 : 832.44 = 432.52 : x
  2. Step 2: Convert to fraction form
    556.08/832.44 = 432.52/x
  3. Step 3: Cross multiply
    556.08x = 832.44 × 432.52
  4. Step 4: Simplify right side
    556.08x = 360,046.95
  5. Step 5: Solve for x
    x = 360,046.95/556.08
  6. Step 6: Final answer
    x = 647.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.