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Finding the Fourth Proportional to 582.50, 873.46 and 192.42

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Solution

The fourth proportional to 582.50, 873.46 and 192.42 is: 288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.50 : 873.46 = 192.42 : x
  2. Step 2: Convert to fraction form
    582.50/873.46 = 192.42/x
  3. Step 3: Cross multiply
    582.50x = 873.46 × 192.42
  4. Step 4: Simplify right side
    582.50x = 168,071.17
  5. Step 5: Solve for x
    x = 168,071.17/582.50
  6. Step 6: Final answer
    x = 288.53

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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.