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Finding the Fourth Proportional to 1,437.07, 2,155.64 and 512.65

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Solution

The fourth proportional to 1,437.07, 2,155.64 and 512.65 is: 768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.07 : 2,155.64 = 512.65 : x
  2. Step 2: Convert to fraction form
    1,437.07/2,155.64 = 512.65/x
  3. Step 3: Cross multiply
    1,437.07x = 2,155.64 × 512.65
  4. Step 4: Simplify right side
    1,437.07x = 1,105,088.85
  5. Step 5: Solve for x
    x = 1,105,088.85/1,437.07
  6. Step 6: Final answer
    x = 768.99

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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.