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Finding the Fourth Proportional to 510.64, 706.54 and 445.28

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Solution

The fourth proportional to 510.64, 706.54 and 445.28 is: 616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.64 : 706.54 = 445.28 : x
  2. Step 2: Convert to fraction form
    510.64/706.54 = 445.28/x
  3. Step 3: Cross multiply
    510.64x = 706.54 × 445.28
  4. Step 4: Simplify right side
    510.64x = 314,608.13
  5. Step 5: Solve for x
    x = 314,608.13/510.64
  6. Step 6: Final answer
    x = 616.11

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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.