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Finding the Fourth Proportional to 647.00, 970.70 and 416.15

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Solution

The fourth proportional to 647.00, 970.70 and 416.15 is: 624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.00 : 970.70 = 416.15 : x
  2. Step 2: Convert to fraction form
    647.00/970.70 = 416.15/x
  3. Step 3: Cross multiply
    647.00x = 970.70 × 416.15
  4. Step 4: Simplify right side
    647.00x = 403,954.38
  5. Step 5: Solve for x
    x = 403,954.38/647.00
  6. Step 6: Final answer
    x = 624.35

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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.