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Finding the Fourth Proportional to 508.92, 757.80 and 465.36

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Solution

The fourth proportional to 508.92, 757.80 and 465.36 is: 692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.92 : 757.80 = 465.36 : x
  2. Step 2: Convert to fraction form
    508.92/757.80 = 465.36/x
  3. Step 3: Cross multiply
    508.92x = 757.80 × 465.36
  4. Step 4: Simplify right side
    508.92x = 352,649.81
  5. Step 5: Solve for x
    x = 352,649.81/508.92
  6. Step 6: Final answer
    x = 692.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.