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Finding the Fourth Proportional to 1,143.41, 1,714.93 and 526.99

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Solution

The fourth proportional to 1,143.41, 1,714.93 and 526.99 is: 790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.41 : 1,714.93 = 526.99 : x
  2. Step 2: Convert to fraction form
    1,143.41/1,714.93 = 526.99/x
  3. Step 3: Cross multiply
    1,143.41x = 1,714.93 × 526.99
  4. Step 4: Simplify right side
    1,143.41x = 903,739.75
  5. Step 5: Solve for x
    x = 903,739.75/1,143.41
  6. Step 6: Final answer
    x = 790.39

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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.