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Finding the Fourth Proportional to 722.96, 998.16 and 510.78

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Solution

The fourth proportional to 722.96, 998.16 and 510.78 is: 705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.96 : 998.16 = 510.78 : x
  2. Step 2: Convert to fraction form
    722.96/998.16 = 510.78/x
  3. Step 3: Cross multiply
    722.96x = 998.16 × 510.78
  4. Step 4: Simplify right side
    722.96x = 509,840.16
  5. Step 5: Solve for x
    x = 509,840.16/722.96
  6. Step 6: Final answer
    x = 705.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.