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Finding the Fourth Proportional to 1,537.48, 2,305.74 and 612.78

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Solution

The fourth proportional to 1,537.48, 2,305.74 and 612.78 is: 918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.48 : 2,305.74 = 612.78 : x
  2. Step 2: Convert to fraction form
    1,537.48/2,305.74 = 612.78/x
  3. Step 3: Cross multiply
    1,537.48x = 2,305.74 × 612.78
  4. Step 4: Simplify right side
    1,537.48x = 1,412,911.36
  5. Step 5: Solve for x
    x = 1,412,911.36/1,537.48
  6. Step 6: Final answer
    x = 918.98

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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.