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Finding the Fourth Proportional to 758.58, 1,136.19 and 583.98

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Solution

The fourth proportional to 758.58, 1,136.19 and 583.98 is: 874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.58 : 1,136.19 = 583.98 : x
  2. Step 2: Convert to fraction form
    758.58/1,136.19 = 583.98/x
  3. Step 3: Cross multiply
    758.58x = 1,136.19 × 583.98
  4. Step 4: Simplify right side
    758.58x = 663,512.24
  5. Step 5: Solve for x
    x = 663,512.24/758.58
  6. Step 6: Final answer
    x = 874.68

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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.