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Finding the Fourth Proportional to 993.57, 1,491.23 and 718.35

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Solution

The fourth proportional to 993.57, 1,491.23 and 718.35 is: 1,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.57 : 1,491.23 = 718.35 : x
  2. Step 2: Convert to fraction form
    993.57/1,491.23 = 718.35/x
  3. Step 3: Cross multiply
    993.57x = 1,491.23 × 718.35
  4. Step 4: Simplify right side
    993.57x = 1,071,225.07
  5. Step 5: Solve for x
    x = 1,071,225.07/993.57
  6. Step 6: Final answer
    x = 1,078.16

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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.