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Finding the Fourth Proportional to 595.07, 821.07 and 418.56

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Solution

The fourth proportional to 595.07, 821.07 and 418.56 is: 577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.07 : 821.07 = 418.56 : x
  2. Step 2: Convert to fraction form
    595.07/821.07 = 418.56/x
  3. Step 3: Cross multiply
    595.07x = 821.07 × 418.56
  4. Step 4: Simplify right side
    595.07x = 343,667.06
  5. Step 5: Solve for x
    x = 343,667.06/595.07
  6. Step 6: Final answer
    x = 577.53

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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.