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Finding the Fourth Proportional to 894.75, 1,235.30 and 584.79

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Solution

The fourth proportional to 894.75, 1,235.30 and 584.79 is: 807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.75 : 1,235.30 = 584.79 : x
  2. Step 2: Convert to fraction form
    894.75/1,235.30 = 584.79/x
  3. Step 3: Cross multiply
    894.75x = 1,235.30 × 584.79
  4. Step 4: Simplify right side
    894.75x = 722,388.16
  5. Step 5: Solve for x
    x = 722,388.16/894.75
  6. Step 6: Final answer
    x = 807.36

Related Problems

Find fourth proportional to 447.38, 617.65 and 292.40
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.