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Finding the Fourth Proportional to 585.04, 873.33 and 497.78

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Solution

The fourth proportional to 585.04, 873.33 and 497.78 is: 743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.04 : 873.33 = 497.78 : x
  2. Step 2: Convert to fraction form
    585.04/873.33 = 497.78/x
  3. Step 3: Cross multiply
    585.04x = 873.33 × 497.78
  4. Step 4: Simplify right side
    585.04x = 434,726.21
  5. Step 5: Solve for x
    x = 434,726.21/585.04
  6. Step 6: Final answer
    x = 743.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.