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Finding the Fourth Proportional to 527.25, 790.18 and 458.45

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Solution

The fourth proportional to 527.25, 790.18 and 458.45 is: 687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.25 : 790.18 = 458.45 : x
  2. Step 2: Convert to fraction form
    527.25/790.18 = 458.45/x
  3. Step 3: Cross multiply
    527.25x = 790.18 × 458.45
  4. Step 4: Simplify right side
    527.25x = 362,254.07
  5. Step 5: Solve for x
    x = 362,254.07/527.25
  6. Step 6: Final answer
    x = 687.06

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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.