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Finding the Fourth Proportional to 1,302.29, 1,953.42 and 522.49

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Solution

The fourth proportional to 1,302.29, 1,953.42 and 522.49 is: 783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.29 : 1,953.42 = 522.49 : x
  2. Step 2: Convert to fraction form
    1,302.29/1,953.42 = 522.49/x
  3. Step 3: Cross multiply
    1,302.29x = 1,953.42 × 522.49
  4. Step 4: Simplify right side
    1,302.29x = 1,020,642.42
  5. Step 5: Solve for x
    x = 1,020,642.42/1,302.29
  6. Step 6: Final answer
    x = 783.73

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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.