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Finding the Fourth Proportional to 585.40, 877.77 and 292.26

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Solution

The fourth proportional to 585.40, 877.77 and 292.26 is: 438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.40 : 877.77 = 292.26 : x
  2. Step 2: Convert to fraction form
    585.40/877.77 = 292.26/x
  3. Step 3: Cross multiply
    585.40x = 877.77 × 292.26
  4. Step 4: Simplify right side
    585.40x = 256,537.06
  5. Step 5: Solve for x
    x = 256,537.06/585.40
  6. Step 6: Final answer
    x = 438.23

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1.5x scale

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.