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Finding the Fourth Proportional to 465.93, 702.32 and 437.31

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Solution

The fourth proportional to 465.93, 702.32 and 437.31 is: 659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.93 : 702.32 = 437.31 : x
  2. Step 2: Convert to fraction form
    465.93/702.32 = 437.31/x
  3. Step 3: Cross multiply
    465.93x = 702.32 × 437.31
  4. Step 4: Simplify right side
    465.93x = 307,129.37
  5. Step 5: Solve for x
    x = 307,129.37/465.93
  6. Step 6: Final answer
    x = 659.17

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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.