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Finding the Fourth Proportional to 624.69, 861.98 and 428.67

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Solution

The fourth proportional to 624.69, 861.98 and 428.67 is: 591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.69 : 861.98 = 428.67 : x
  2. Step 2: Convert to fraction form
    624.69/861.98 = 428.67/x
  3. Step 3: Cross multiply
    624.69x = 861.98 × 428.67
  4. Step 4: Simplify right side
    624.69x = 369,502.82
  5. Step 5: Solve for x
    x = 369,502.82/624.69
  6. Step 6: Final answer
    x = 591.50

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1.5x scale

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.