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Finding the Fourth Proportional to 505.65, 756.45 and 437.93

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Solution

The fourth proportional to 505.65, 756.45 and 437.93 is: 655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.65 : 756.45 = 437.93 : x
  2. Step 2: Convert to fraction form
    505.65/756.45 = 437.93/x
  3. Step 3: Cross multiply
    505.65x = 756.45 × 437.93
  4. Step 4: Simplify right side
    505.65x = 331,268.37
  5. Step 5: Solve for x
    x = 331,268.37/505.65
  6. Step 6: Final answer
    x = 655.13

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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.