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Finding the Fourth Proportional to 453.04, 678.81 and 402.01

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Solution

The fourth proportional to 453.04, 678.81 and 402.01 is: 602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.04 : 678.81 = 402.01 : x
  2. Step 2: Convert to fraction form
    453.04/678.81 = 402.01/x
  3. Step 3: Cross multiply
    453.04x = 678.81 × 402.01
  4. Step 4: Simplify right side
    453.04x = 272,888.41
  5. Step 5: Solve for x
    x = 272,888.41/453.04
  6. Step 6: Final answer
    x = 602.35

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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.