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Finding the Fourth Proportional to 565.07, 775.64 and 501.51

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Solution

The fourth proportional to 565.07, 775.64 and 501.51 is: 688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.07 : 775.64 = 501.51 : x
  2. Step 2: Convert to fraction form
    565.07/775.64 = 501.51/x
  3. Step 3: Cross multiply
    565.07x = 775.64 × 501.51
  4. Step 4: Simplify right side
    565.07x = 388,991.22
  5. Step 5: Solve for x
    x = 388,991.22/565.07
  6. Step 6: Final answer
    x = 688.39

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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.