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Finding the Fourth Proportional to 647.70, 970 and 373.21

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Solution

The fourth proportional to 647.70, 970 and 373.21 is: 558.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.70 : 970 = 373.21 : x
  2. Step 2: Convert to fraction form
    647.70/970 = 373.21/x
  3. Step 3: Cross multiply
    647.70x = 970 × 373.21
  4. Step 4: Simplify right side
    647.70x = 362,013.70
  5. Step 5: Solve for x
    x = 362,013.70/647.70
  6. Step 6: Final answer
    x = 558.92

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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.