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Finding the Fourth Proportional to 864.75, 1,193.25 and 491.61

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Solution

The fourth proportional to 864.75, 1,193.25 and 491.61 is: 678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.75 : 1,193.25 = 491.61 : x
  2. Step 2: Convert to fraction form
    864.75/1,193.25 = 491.61/x
  3. Step 3: Cross multiply
    864.75x = 1,193.25 × 491.61
  4. Step 4: Simplify right side
    864.75x = 586,613.63
  5. Step 5: Solve for x
    x = 586,613.63/864.75
  6. Step 6: Final answer
    x = 678.36

Related Problems

Find fourth proportional to 432.38, 596.63 and 245.81
Half scale
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Double scale
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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.