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Finding the Fourth Proportional to 1,302.52, 1,953.78 and 436.80

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Solution

The fourth proportional to 1,302.52, 1,953.78 and 436.80 is: 655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.52 : 1,953.78 = 436.80 : x
  2. Step 2: Convert to fraction form
    1,302.52/1,953.78 = 436.80/x
  3. Step 3: Cross multiply
    1,302.52x = 1,953.78 × 436.80
  4. Step 4: Simplify right side
    1,302.52x = 853,411.10
  5. Step 5: Solve for x
    x = 853,411.10/1,302.52
  6. Step 6: Final answer
    x = 655.20

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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.