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Finding the Fourth Proportional to 526.94, 790.74 and 458.36

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Solution

The fourth proportional to 526.94, 790.74 and 458.36 is: 687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.94 : 790.74 = 458.36 : x
  2. Step 2: Convert to fraction form
    526.94/790.74 = 458.36/x
  3. Step 3: Cross multiply
    526.94x = 790.74 × 458.36
  4. Step 4: Simplify right side
    526.94x = 362,443.59
  5. Step 5: Solve for x
    x = 362,443.59/526.94
  6. Step 6: Final answer
    x = 687.83

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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.