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Finding the Fourth Proportional to 1,152.77, 1,590.84 and 655.42

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Solution

The fourth proportional to 1,152.77, 1,590.84 and 655.42 is: 904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.77 : 1,590.84 = 655.42 : x
  2. Step 2: Convert to fraction form
    1,152.77/1,590.84 = 655.42/x
  3. Step 3: Cross multiply
    1,152.77x = 1,590.84 × 655.42
  4. Step 4: Simplify right side
    1,152.77x = 1,042,665.08
  5. Step 5: Solve for x
    x = 1,042,665.08/1,152.77
  6. Step 6: Final answer
    x = 904.49

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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.