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Finding the Fourth Proportional to 582.48, 803.40 and 416.88

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Solution

The fourth proportional to 582.48, 803.40 and 416.88 is: 574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.48 : 803.40 = 416.88 : x
  2. Step 2: Convert to fraction form
    582.48/803.40 = 416.88/x
  3. Step 3: Cross multiply
    582.48x = 803.40 × 416.88
  4. Step 4: Simplify right side
    582.48x = 334,921.39
  5. Step 5: Solve for x
    x = 334,921.39/582.48
  6. Step 6: Final answer
    x = 574.99

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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.