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Finding the Fourth Proportional to 655.65, 904.71 and 375.90

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Solution

The fourth proportional to 655.65, 904.71 and 375.90 is: 518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.65 : 904.71 = 375.90 : x
  2. Step 2: Convert to fraction form
    655.65/904.71 = 375.90/x
  3. Step 3: Cross multiply
    655.65x = 904.71 × 375.90
  4. Step 4: Simplify right side
    655.65x = 340,080.49
  5. Step 5: Solve for x
    x = 340,080.49/655.65
  6. Step 6: Final answer
    x = 518.69

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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.