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Finding the Fourth Proportional to 582.55, 803.18 and 498.51

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Solution

The fourth proportional to 582.55, 803.18 and 498.51 is: 687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.55 : 803.18 = 498.51 : x
  2. Step 2: Convert to fraction form
    582.55/803.18 = 498.51/x
  3. Step 3: Cross multiply
    582.55x = 803.18 × 498.51
  4. Step 4: Simplify right side
    582.55x = 400,394.51
  5. Step 5: Solve for x
    x = 400,394.51/582.55
  6. Step 6: Final answer
    x = 687.32

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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.