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Finding the Fourth Proportional to 665.84, 913.96 and 590.48

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Solution

The fourth proportional to 665.84, 913.96 and 590.48 is: 810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.84 : 913.96 = 590.48 : x
  2. Step 2: Convert to fraction form
    665.84/913.96 = 590.48/x
  3. Step 3: Cross multiply
    665.84x = 913.96 × 590.48
  4. Step 4: Simplify right side
    665.84x = 539,675.10
  5. Step 5: Solve for x
    x = 539,675.10/665.84
  6. Step 6: Final answer
    x = 810.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.