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Finding the Fourth Proportional to 685.48, 946.14 and 420.01

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Solution

The fourth proportional to 685.48, 946.14 and 420.01 is: 579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.48 : 946.14 = 420.01 : x
  2. Step 2: Convert to fraction form
    685.48/946.14 = 420.01/x
  3. Step 3: Cross multiply
    685.48x = 946.14 × 420.01
  4. Step 4: Simplify right side
    685.48x = 397,388.26
  5. Step 5: Solve for x
    x = 397,388.26/685.48
  6. Step 6: Final answer
    x = 579.72

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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.