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Finding the Fourth Proportional to 1,152.24, 1,728.28 and 604.77

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Solution

The fourth proportional to 1,152.24, 1,728.28 and 604.77 is: 907.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.24 : 1,728.28 = 604.77 : x
  2. Step 2: Convert to fraction form
    1,152.24/1,728.28 = 604.77/x
  3. Step 3: Cross multiply
    1,152.24x = 1,728.28 × 604.77
  4. Step 4: Simplify right side
    1,152.24x = 1,045,211.90
  5. Step 5: Solve for x
    x = 1,045,211.90/1,152.24
  6. Step 6: Final answer
    x = 907.11

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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.