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Finding the Fourth Proportional to 1,323.69, 1,985.40 and 349.80

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Solution

The fourth proportional to 1,323.69, 1,985.40 and 349.80 is: 524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.69 : 1,985.40 = 349.80 : x
  2. Step 2: Convert to fraction form
    1,323.69/1,985.40 = 349.80/x
  3. Step 3: Cross multiply
    1,323.69x = 1,985.40 × 349.80
  4. Step 4: Simplify right side
    1,323.69x = 694,492.92
  5. Step 5: Solve for x
    x = 694,492.92/1,323.69
  6. Step 6: Final answer
    x = 524.66

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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.