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Finding the Fourth Proportional to 1,730.64, 2,385 and 1,264.08

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Solution

The fourth proportional to 1,730.64, 2,385 and 1,264.08 is: 1,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.64 : 2,385 = 1,264.08 : x
  2. Step 2: Convert to fraction form
    1,730.64/2,385 = 1,264.08/x
  3. Step 3: Cross multiply
    1,730.64x = 2,385 × 1,264.08
  4. Step 4: Simplify right side
    1,730.64x = 3,014,830.80
  5. Step 5: Solve for x
    x = 3,014,830.80/1,730.64
  6. Step 6: Final answer
    x = 1,742.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.