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Finding the Fourth Proportional to 647.93, 970.77 and 464.42

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Solution

The fourth proportional to 647.93, 970.77 and 464.42 is: 695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.93 : 970.77 = 464.42 : x
  2. Step 2: Convert to fraction form
    647.93/970.77 = 464.42/x
  3. Step 3: Cross multiply
    647.93x = 970.77 × 464.42
  4. Step 4: Simplify right side
    647.93x = 450,845.00
  5. Step 5: Solve for x
    x = 450,845.00/647.93
  6. Step 6: Final answer
    x = 695.82

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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.