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Finding the Fourth Proportional to 904.36, 1,248.47 and 585.71

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Solution

The fourth proportional to 904.36, 1,248.47 and 585.71 is: 808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.36 : 1,248.47 = 585.71 : x
  2. Step 2: Convert to fraction form
    904.36/1,248.47 = 585.71/x
  3. Step 3: Cross multiply
    904.36x = 1,248.47 × 585.71
  4. Step 4: Simplify right side
    904.36x = 731,235.97
  5. Step 5: Solve for x
    x = 731,235.97/904.36
  6. Step 6: Final answer
    x = 808.57

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Half scale
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Double scale
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1.5x scale

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.