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Finding the Fourth Proportional to 1,302.15, 1,952.71 and 468.97

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Solution

The fourth proportional to 1,302.15, 1,952.71 and 468.97 is: 703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.15 : 1,952.71 = 468.97 : x
  2. Step 2: Convert to fraction form
    1,302.15/1,952.71 = 468.97/x
  3. Step 3: Cross multiply
    1,302.15x = 1,952.71 × 468.97
  4. Step 4: Simplify right side
    1,302.15x = 915,762.41
  5. Step 5: Solve for x
    x = 915,762.41/1,302.15
  6. Step 6: Final answer
    x = 703.27

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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.