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Finding the Fourth Proportional to 655.02, 901.71 and 507.37

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Solution

The fourth proportional to 655.02, 901.71 and 507.37 is: 698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.02 : 901.71 = 507.37 : x
  2. Step 2: Convert to fraction form
    655.02/901.71 = 507.37/x
  3. Step 3: Cross multiply
    655.02x = 901.71 × 507.37
  4. Step 4: Simplify right side
    655.02x = 457,500.60
  5. Step 5: Solve for x
    x = 457,500.60/655.02
  6. Step 6: Final answer
    x = 698.45

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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.