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Finding the Fourth Proportional to 1,047.63, 1,571.67 and 307.23

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Solution

The fourth proportional to 1,047.63, 1,571.67 and 307.23 is: 460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.63 : 1,571.67 = 307.23 : x
  2. Step 2: Convert to fraction form
    1,047.63/1,571.67 = 307.23/x
  3. Step 3: Cross multiply
    1,047.63x = 1,571.67 × 307.23
  4. Step 4: Simplify right side
    1,047.63x = 482,864.17
  5. Step 5: Solve for x
    x = 482,864.17/1,047.63
  6. Step 6: Final answer
    x = 460.91

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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.