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Finding the Fourth Proportional to 1,688.63, 2,520.72 and 1,458.99

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Solution

The fourth proportional to 1,688.63, 2,520.72 and 1,458.99 is: 2,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.63 : 2,520.72 = 1,458.99 : x
  2. Step 2: Convert to fraction form
    1,688.63/2,520.72 = 1,458.99/x
  3. Step 3: Cross multiply
    1,688.63x = 2,520.72 × 1,458.99
  4. Step 4: Simplify right side
    1,688.63x = 3,677,697.98
  5. Step 5: Solve for x
    x = 3,677,697.98/1,688.63
  6. Step 6: Final answer
    x = 2,177.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.