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Finding the Fourth Proportional to 585.79, 877.77 and 494.06

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Solution

The fourth proportional to 585.79, 877.77 and 494.06 is: 740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.79 : 877.77 = 494.06 : x
  2. Step 2: Convert to fraction form
    585.79/877.77 = 494.06/x
  3. Step 3: Cross multiply
    585.79x = 877.77 × 494.06
  4. Step 4: Simplify right side
    585.79x = 433,666.66
  5. Step 5: Solve for x
    x = 433,666.66/585.79
  6. Step 6: Final answer
    x = 740.31

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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.