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Finding the Fourth Proportional to 704.40, 972.47 and 492.01

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Solution

The fourth proportional to 704.40, 972.47 and 492.01 is: 679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.40 : 972.47 = 492.01 : x
  2. Step 2: Convert to fraction form
    704.40/972.47 = 492.01/x
  3. Step 3: Cross multiply
    704.40x = 972.47 × 492.01
  4. Step 4: Simplify right side
    704.40x = 478,464.96
  5. Step 5: Solve for x
    x = 478,464.96/704.40
  6. Step 6: Final answer
    x = 679.25

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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.