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Finding the Fourth Proportional to 776.68, 1,160.58 and 590.56

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Solution

The fourth proportional to 776.68, 1,160.58 and 590.56 is: 882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.68 : 1,160.58 = 590.56 : x
  2. Step 2: Convert to fraction form
    776.68/1,160.58 = 590.56/x
  3. Step 3: Cross multiply
    776.68x = 1,160.58 × 590.56
  4. Step 4: Simplify right side
    776.68x = 685,392.12
  5. Step 5: Solve for x
    x = 685,392.12/776.68
  6. Step 6: Final answer
    x = 882.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.