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Finding the Fourth Proportional to 1,323.53, 1,985.13 and 349.70

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Solution

The fourth proportional to 1,323.53, 1,985.13 and 349.70 is: 524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.53 : 1,985.13 = 349.70 : x
  2. Step 2: Convert to fraction form
    1,323.53/1,985.13 = 349.70/x
  3. Step 3: Cross multiply
    1,323.53x = 1,985.13 × 349.70
  4. Step 4: Simplify right side
    1,323.53x = 694,190.04
  5. Step 5: Solve for x
    x = 694,190.04/1,323.53
  6. Step 6: Final answer
    x = 524.50

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1.5x scale

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.