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Finding the Fourth Proportional to 582.96, 873.60 and 472.80

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Solution

The fourth proportional to 582.96, 873.60 and 472.80 is: 708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.96 : 873.60 = 472.80 : x
  2. Step 2: Convert to fraction form
    582.96/873.60 = 472.80/x
  3. Step 3: Cross multiply
    582.96x = 873.60 × 472.80
  4. Step 4: Simplify right side
    582.96x = 413,038.08
  5. Step 5: Solve for x
    x = 413,038.08/582.96
  6. Step 6: Final answer
    x = 708.52

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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.