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Finding the Fourth Proportional to 578.75, 798.32 and 505.25

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Solution

The fourth proportional to 578.75, 798.32 and 505.25 is: 696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.75 : 798.32 = 505.25 : x
  2. Step 2: Convert to fraction form
    578.75/798.32 = 505.25/x
  3. Step 3: Cross multiply
    578.75x = 798.32 × 505.25
  4. Step 4: Simplify right side
    578.75x = 403,348.45
  5. Step 5: Solve for x
    x = 403,348.45/578.75
  6. Step 6: Final answer
    x = 696.93

Related Problems

Find fourth proportional to 289.38, 399.16 and 252.62
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.