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Finding the Fourth Proportional to 864.67, 1,193.25 and 491.74

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Solution

The fourth proportional to 864.67, 1,193.25 and 491.74 is: 678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.67 : 1,193.25 = 491.74 : x
  2. Step 2: Convert to fraction form
    864.67/1,193.25 = 491.74/x
  3. Step 3: Cross multiply
    864.67x = 1,193.25 × 491.74
  4. Step 4: Simplify right side
    864.67x = 586,768.76
  5. Step 5: Solve for x
    x = 586,768.76/864.67
  6. Step 6: Final answer
    x = 678.60

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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.