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Finding the Fourth Proportional to 1,153.02, 1,590.99 and 648.78

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Solution

The fourth proportional to 1,153.02, 1,590.99 and 648.78 is: 895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.02 : 1,590.99 = 648.78 : x
  2. Step 2: Convert to fraction form
    1,153.02/1,590.99 = 648.78/x
  3. Step 3: Cross multiply
    1,153.02x = 1,590.99 × 648.78
  4. Step 4: Simplify right side
    1,153.02x = 1,032,202.49
  5. Step 5: Solve for x
    x = 1,032,202.49/1,153.02
  6. Step 6: Final answer
    x = 895.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.