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Finding the Fourth Proportional to 509.58, 702.39 and 420.89

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Solution

The fourth proportional to 509.58, 702.39 and 420.89 is: 580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.58 : 702.39 = 420.89 : x
  2. Step 2: Convert to fraction form
    509.58/702.39 = 420.89/x
  3. Step 3: Cross multiply
    509.58x = 702.39 × 420.89
  4. Step 4: Simplify right side
    509.58x = 295,625.42
  5. Step 5: Solve for x
    x = 295,625.42/509.58
  6. Step 6: Final answer
    x = 580.14

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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.