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Finding the Fourth Proportional to 644.34, 970.62 and 580.25

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Solution

The fourth proportional to 644.34, 970.62 and 580.25 is: 874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.34 : 970.62 = 580.25 : x
  2. Step 2: Convert to fraction form
    644.34/970.62 = 580.25/x
  3. Step 3: Cross multiply
    644.34x = 970.62 × 580.25
  4. Step 4: Simplify right side
    644.34x = 563,202.26
  5. Step 5: Solve for x
    x = 563,202.26/644.34
  6. Step 6: Final answer
    x = 874.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.