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Finding the Fourth Proportional to 656.34, 980.36 and 510.54

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Solution

The fourth proportional to 656.34, 980.36 and 510.54 is: 762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.34 : 980.36 = 510.54 : x
  2. Step 2: Convert to fraction form
    656.34/980.36 = 510.54/x
  3. Step 3: Cross multiply
    656.34x = 980.36 × 510.54
  4. Step 4: Simplify right side
    656.34x = 500,510.44
  5. Step 5: Solve for x
    x = 500,510.44/656.34
  6. Step 6: Final answer
    x = 762.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.