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Finding the Fourth Proportional to 1,423.55, 2,135.93 and 693.13

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Solution

The fourth proportional to 1,423.55, 2,135.93 and 693.13 is: 1,039.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.55 : 2,135.93 = 693.13 : x
  2. Step 2: Convert to fraction form
    1,423.55/2,135.93 = 693.13/x
  3. Step 3: Cross multiply
    1,423.55x = 2,135.93 × 693.13
  4. Step 4: Simplify right side
    1,423.55x = 1,480,477.16
  5. Step 5: Solve for x
    x = 1,480,477.16/1,423.55
  6. Step 6: Final answer
    x = 1,039.99

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