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Finding the Fourth Proportional to 795.84, 1,194.30 and 430.67

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Solution

The fourth proportional to 795.84, 1,194.30 and 430.67 is: 646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.84 : 1,194.30 = 430.67 : x
  2. Step 2: Convert to fraction form
    795.84/1,194.30 = 430.67/x
  3. Step 3: Cross multiply
    795.84x = 1,194.30 × 430.67
  4. Step 4: Simplify right side
    795.84x = 514,349.18
  5. Step 5: Solve for x
    x = 514,349.18/795.84
  6. Step 6: Final answer
    x = 646.30

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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.