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Finding the Fourth Proportional to 1,013.42, 1,520.59 and 580.58

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Solution

The fourth proportional to 1,013.42, 1,520.59 and 580.58 is: 871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.42 : 1,520.59 = 580.58 : x
  2. Step 2: Convert to fraction form
    1,013.42/1,520.59 = 580.58/x
  3. Step 3: Cross multiply
    1,013.42x = 1,520.59 × 580.58
  4. Step 4: Simplify right side
    1,013.42x = 882,824.14
  5. Step 5: Solve for x
    x = 882,824.14/1,013.42
  6. Step 6: Final answer
    x = 871.13

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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.