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Finding the Fourth Proportional to 1,013.59, 1,520.34 and 428.35

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Solution

The fourth proportional to 1,013.59, 1,520.34 and 428.35 is: 642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.59 : 1,520.34 = 428.35 : x
  2. Step 2: Convert to fraction form
    1,013.59/1,520.34 = 428.35/x
  3. Step 3: Cross multiply
    1,013.59x = 1,520.34 × 428.35
  4. Step 4: Simplify right side
    1,013.59x = 651,237.64
  5. Step 5: Solve for x
    x = 651,237.64/1,013.59
  6. Step 6: Final answer
    x = 642.51

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Double scale
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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.