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Finding the Fourth Proportional to 644.24, 971.42 and 598.16

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Solution

The fourth proportional to 644.24, 971.42 and 598.16 is: 901.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.24 : 971.42 = 598.16 : x
  2. Step 2: Convert to fraction form
    644.24/971.42 = 598.16/x
  3. Step 3: Cross multiply
    644.24x = 971.42 × 598.16
  4. Step 4: Simplify right side
    644.24x = 581,064.59
  5. Step 5: Solve for x
    x = 581,064.59/644.24
  6. Step 6: Final answer
    x = 901.94

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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.