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Finding the Fourth Proportional to 1,280.53, 1,920.86 and 623.01

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Solution

The fourth proportional to 1,280.53, 1,920.86 and 623.01 is: 934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.53 : 1,920.86 = 623.01 : x
  2. Step 2: Convert to fraction form
    1,280.53/1,920.86 = 623.01/x
  3. Step 3: Cross multiply
    1,280.53x = 1,920.86 × 623.01
  4. Step 4: Simplify right side
    1,280.53x = 1,196,714.99
  5. Step 5: Solve for x
    x = 1,196,714.99/1,280.53
  6. Step 6: Final answer
    x = 934.55

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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.