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Finding the Fourth Proportional to 511, 703.63 and 437.16

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Solution

The fourth proportional to 511, 703.63 and 437.16 is: 601.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511 : 703.63 = 437.16 : x
  2. Step 2: Convert to fraction form
    511/703.63 = 437.16/x
  3. Step 3: Cross multiply
    511x = 703.63 × 437.16
  4. Step 4: Simplify right side
    511x = 307,598.89
  5. Step 5: Solve for x
    x = 307,598.89/511
  6. Step 6: Final answer
    x = 601.95

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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.