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Finding the Fourth Proportional to 584.77, 806.99 and 322.79

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Solution

The fourth proportional to 584.77, 806.99 and 322.79 is: 445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.77 : 806.99 = 322.79 : x
  2. Step 2: Convert to fraction form
    584.77/806.99 = 322.79/x
  3. Step 3: Cross multiply
    584.77x = 806.99 × 322.79
  4. Step 4: Simplify right side
    584.77x = 260,482.65
  5. Step 5: Solve for x
    x = 260,482.65/584.77
  6. Step 6: Final answer
    x = 445.45

Related Problems

Find fourth proportional to 292.38, 403.49 and 161.39
Half scale
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Double scale
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Similar ratio
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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.