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Finding the Fourth Proportional to 589.02, 883.63 and 198.98

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Solution

The fourth proportional to 589.02, 883.63 and 198.98 is: 298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.02 : 883.63 = 198.98 : x
  2. Step 2: Convert to fraction form
    589.02/883.63 = 198.98/x
  3. Step 3: Cross multiply
    589.02x = 883.63 × 198.98
  4. Step 4: Simplify right side
    589.02x = 175,824.70
  5. Step 5: Solve for x
    x = 175,824.70/589.02
  6. Step 6: Final answer
    x = 298.50

Related Problems

Find fourth proportional to 294.51, 441.82 and 99.49
Half scale
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Double scale
Find fourth proportional to 590.02, 885.13 and 199.98
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.