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Finding the Fourth Proportional to 426.42, 586.71 and 373.77

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Solution

The fourth proportional to 426.42, 586.71 and 373.77 is: 514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.42 : 586.71 = 373.77 : x
  2. Step 2: Convert to fraction form
    426.42/586.71 = 373.77/x
  3. Step 3: Cross multiply
    426.42x = 586.71 × 373.77
  4. Step 4: Simplify right side
    426.42x = 219,294.60
  5. Step 5: Solve for x
    x = 219,294.60/426.42
  6. Step 6: Final answer
    x = 514.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.