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Finding the Fourth Proportional to 655.76, 902.62 and 562.41

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Solution

The fourth proportional to 655.76, 902.62 and 562.41 is: 774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.76 : 902.62 = 562.41 : x
  2. Step 2: Convert to fraction form
    655.76/902.62 = 562.41/x
  3. Step 3: Cross multiply
    655.76x = 902.62 × 562.41
  4. Step 4: Simplify right side
    655.76x = 507,642.51
  5. Step 5: Solve for x
    x = 507,642.51/655.76
  6. Step 6: Final answer
    x = 774.13

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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.