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Finding the Fourth Proportional to 776.51, 1,162.93 and 590.61

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Solution

The fourth proportional to 776.51, 1,162.93 and 590.61 is: 884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.51 : 1,162.93 = 590.61 : x
  2. Step 2: Convert to fraction form
    776.51/1,162.93 = 590.61/x
  3. Step 3: Cross multiply
    776.51x = 1,162.93 × 590.61
  4. Step 4: Simplify right side
    776.51x = 686,838.09
  5. Step 5: Solve for x
    x = 686,838.09/776.51
  6. Step 6: Final answer
    x = 884.52

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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.