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Finding the Fourth Proportional to 704.60, 972.66 and 465.32

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Solution

The fourth proportional to 704.60, 972.66 and 465.32 is: 642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.60 : 972.66 = 465.32 : x
  2. Step 2: Convert to fraction form
    704.60/972.66 = 465.32/x
  3. Step 3: Cross multiply
    704.60x = 972.66 × 465.32
  4. Step 4: Simplify right side
    704.60x = 452,598.15
  5. Step 5: Solve for x
    x = 452,598.15/704.60
  6. Step 6: Final answer
    x = 642.35

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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.