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Finding the Fourth Proportional to 1,047.47, 1,571.19 and 353.99

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Solution

The fourth proportional to 1,047.47, 1,571.19 and 353.99 is: 530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.47 : 1,571.19 = 353.99 : x
  2. Step 2: Convert to fraction form
    1,047.47/1,571.19 = 353.99/x
  3. Step 3: Cross multiply
    1,047.47x = 1,571.19 × 353.99
  4. Step 4: Simplify right side
    1,047.47x = 556,185.55
  5. Step 5: Solve for x
    x = 556,185.55/1,047.47
  6. Step 6: Final answer
    x = 530.98

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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.