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Finding the Fourth Proportional to 663.48, 914.74 and 427.01

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Solution

The fourth proportional to 663.48, 914.74 and 427.01 is: 588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.48 : 914.74 = 427.01 : x
  2. Step 2: Convert to fraction form
    663.48/914.74 = 427.01/x
  3. Step 3: Cross multiply
    663.48x = 914.74 × 427.01
  4. Step 4: Simplify right side
    663.48x = 390,603.13
  5. Step 5: Solve for x
    x = 390,603.13/663.48
  6. Step 6: Final answer
    x = 588.72

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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.