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Finding the Fourth Proportional to 601.64, 829.06 and 509.48

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Solution

The fourth proportional to 601.64, 829.06 and 509.48 is: 702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.64 : 829.06 = 509.48 : x
  2. Step 2: Convert to fraction form
    601.64/829.06 = 509.48/x
  3. Step 3: Cross multiply
    601.64x = 829.06 × 509.48
  4. Step 4: Simplify right side
    601.64x = 422,389.49
  5. Step 5: Solve for x
    x = 422,389.49/601.64
  6. Step 6: Final answer
    x = 702.06

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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.