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Finding the Fourth Proportional to 647.36, 970.36 and 464.66

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Solution

The fourth proportional to 647.36, 970.36 and 464.66 is: 696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.36 : 970.36 = 464.66 : x
  2. Step 2: Convert to fraction form
    647.36/970.36 = 464.66/x
  3. Step 3: Cross multiply
    647.36x = 970.36 × 464.66
  4. Step 4: Simplify right side
    647.36x = 450,886.85
  5. Step 5: Solve for x
    x = 450,886.85/647.36
  6. Step 6: Final answer
    x = 696.50

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1.5x scale

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.