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Finding the Fourth Proportional to 508.32, 699.93 and 434.46

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Solution

The fourth proportional to 508.32, 699.93 and 434.46 is: 598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.32 : 699.93 = 434.46 : x
  2. Step 2: Convert to fraction form
    508.32/699.93 = 434.46/x
  3. Step 3: Cross multiply
    508.32x = 699.93 × 434.46
  4. Step 4: Simplify right side
    508.32x = 304,091.59
  5. Step 5: Solve for x
    x = 304,091.59/508.32
  6. Step 6: Final answer
    x = 598.23

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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.