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Finding the Fourth Proportional to 617.64, 926.46 and 510.28

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Solution

The fourth proportional to 617.64, 926.46 and 510.28 is: 765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.64 : 926.46 = 510.28 : x
  2. Step 2: Convert to fraction form
    617.64/926.46 = 510.28/x
  3. Step 3: Cross multiply
    617.64x = 926.46 × 510.28
  4. Step 4: Simplify right side
    617.64x = 472,754.01
  5. Step 5: Solve for x
    x = 472,754.01/617.64
  6. Step 6: Final answer
    x = 765.42

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.