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Finding the Fourth Proportional to 719.81, 993.67 and 510.15

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Solution

The fourth proportional to 719.81, 993.67 and 510.15 is: 704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.81 : 993.67 = 510.15 : x
  2. Step 2: Convert to fraction form
    719.81/993.67 = 510.15/x
  3. Step 3: Cross multiply
    719.81x = 993.67 × 510.15
  4. Step 4: Simplify right side
    719.81x = 506,920.75
  5. Step 5: Solve for x
    x = 506,920.75/719.81
  6. Step 6: Final answer
    x = 704.24

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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.