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Finding the Fourth Proportional to 579.65, 869.49 and 189.65

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Solution

The fourth proportional to 579.65, 869.49 and 189.65 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.65 : 869.49 = 189.65 : x
  2. Step 2: Convert to fraction form
    579.65/869.49 = 189.65/x
  3. Step 3: Cross multiply
    579.65x = 869.49 × 189.65
  4. Step 4: Simplify right side
    579.65x = 164,897.83
  5. Step 5: Solve for x
    x = 164,897.83/579.65
  6. Step 6: Final answer
    x = 284.48

Related Problems

Find fourth proportional to 289.83, 434.74 and 94.83
Half scale
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Double scale
Find fourth proportional to 580.65, 870.99 and 190.65
Similar ratio
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1.5x scale

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.