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Finding the Fourth Proportional to 459.51, 688.05 and 401.46

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Solution

The fourth proportional to 459.51, 688.05 and 401.46 is: 601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.51 : 688.05 = 401.46 : x
  2. Step 2: Convert to fraction form
    459.51/688.05 = 401.46/x
  3. Step 3: Cross multiply
    459.51x = 688.05 × 401.46
  4. Step 4: Simplify right side
    459.51x = 276,224.55
  5. Step 5: Solve for x
    x = 276,224.55/459.51
  6. Step 6: Final answer
    x = 601.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.