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Finding the Fourth Proportional to 585.89, 803.67 and 573.74

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Solution

The fourth proportional to 585.89, 803.67 and 573.74 is: 787.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.89 : 803.67 = 573.74 : x
  2. Step 2: Convert to fraction form
    585.89/803.67 = 573.74/x
  3. Step 3: Cross multiply
    585.89x = 803.67 × 573.74
  4. Step 4: Simplify right side
    585.89x = 461,093.61
  5. Step 5: Solve for x
    x = 461,093.61/585.89
  6. Step 6: Final answer
    x = 787.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.