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Finding the Fourth Proportional to 647.96, 970.58 and 301.58

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Solution

The fourth proportional to 647.96, 970.58 and 301.58 is: 451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.96 : 970.58 = 301.58 : x
  2. Step 2: Convert to fraction form
    647.96/970.58 = 301.58/x
  3. Step 3: Cross multiply
    647.96x = 970.58 × 301.58
  4. Step 4: Simplify right side
    647.96x = 292,707.52
  5. Step 5: Solve for x
    x = 292,707.52/647.96
  6. Step 6: Final answer
    x = 451.74

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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.