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Finding the Fourth Proportional to 669.78, 923.16 and 510.21

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Solution

The fourth proportional to 669.78, 923.16 and 510.21 is: 703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.78 : 923.16 = 510.21 : x
  2. Step 2: Convert to fraction form
    669.78/923.16 = 510.21/x
  3. Step 3: Cross multiply
    669.78x = 923.16 × 510.21
  4. Step 4: Simplify right side
    669.78x = 471,005.46
  5. Step 5: Solve for x
    x = 471,005.46/669.78
  6. Step 6: Final answer
    x = 703.22

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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.