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Finding the Fourth Proportional to 730.89, 1,096.30 and 510.89

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Solution

The fourth proportional to 730.89, 1,096.30 and 510.89 is: 766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.89 : 1,096.30 = 510.89 : x
  2. Step 2: Convert to fraction form
    730.89/1,096.30 = 510.89/x
  3. Step 3: Cross multiply
    730.89x = 1,096.30 × 510.89
  4. Step 4: Simplify right side
    730.89x = 560,090.03
  5. Step 5: Solve for x
    x = 560,090.03/730.89
  6. Step 6: Final answer
    x = 766.31

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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.