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Finding the Fourth Proportional to 584.73, 876.36 and 292.31

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Solution

The fourth proportional to 584.73, 876.36 and 292.31 is: 438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.73 : 876.36 = 292.31 : x
  2. Step 2: Convert to fraction form
    584.73/876.36 = 292.31/x
  3. Step 3: Cross multiply
    584.73x = 876.36 × 292.31
  4. Step 4: Simplify right side
    584.73x = 256,167.15
  5. Step 5: Solve for x
    x = 256,167.15/584.73
  6. Step 6: Final answer
    x = 438.10

Related Problems

Find fourth proportional to 292.36, 438.18 and 146.15
Half scale
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Double scale
Find fourth proportional to 585.73, 877.86 and 293.31
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.