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Finding the Fourth Proportional to 1,512.84, 2,269.12 and 525.63

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Solution

The fourth proportional to 1,512.84, 2,269.12 and 525.63 is: 788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.84 : 2,269.12 = 525.63 : x
  2. Step 2: Convert to fraction form
    1,512.84/2,269.12 = 525.63/x
  3. Step 3: Cross multiply
    1,512.84x = 2,269.12 × 525.63
  4. Step 4: Simplify right side
    1,512.84x = 1,192,717.55
  5. Step 5: Solve for x
    x = 1,192,717.55/1,512.84
  6. Step 6: Final answer
    x = 788.40

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1.5x scale

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.