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Finding the Fourth Proportional to 427.10, 598.75 and 427.10

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Solution

The fourth proportional to 427.10, 598.75 and 427.10 is: 598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.10 : 598.75 = 427.10 : x
  2. Step 2: Convert to fraction form
    427.10/598.75 = 427.10/x
  3. Step 3: Cross multiply
    427.10x = 598.75 × 427.10
  4. Step 4: Simplify right side
    427.10x = 255,726.13
  5. Step 5: Solve for x
    x = 255,726.13/427.10
  6. Step 6: Final answer
    x = 598.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.