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Finding the Fourth Proportional to 509.59, 701.70 and 420.74

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Solution

The fourth proportional to 509.59, 701.70 and 420.74 is: 579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.59 : 701.70 = 420.74 : x
  2. Step 2: Convert to fraction form
    509.59/701.70 = 420.74/x
  3. Step 3: Cross multiply
    509.59x = 701.70 × 420.74
  4. Step 4: Simplify right side
    509.59x = 295,233.26
  5. Step 5: Solve for x
    x = 295,233.26/509.59
  6. Step 6: Final answer
    x = 579.35

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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.