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Finding the Fourth Proportional to 606.68, 837.52 and 420.24

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Solution

The fourth proportional to 606.68, 837.52 and 420.24 is: 580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.68 : 837.52 = 420.24 : x
  2. Step 2: Convert to fraction form
    606.68/837.52 = 420.24/x
  3. Step 3: Cross multiply
    606.68x = 837.52 × 420.24
  4. Step 4: Simplify right side
    606.68x = 351,959.40
  5. Step 5: Solve for x
    x = 351,959.40/606.68
  6. Step 6: Final answer
    x = 580.14

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1.5x scale

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.