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Finding the Fourth Proportional to 900.41, 1,242.76 and 585.12

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Solution

The fourth proportional to 900.41, 1,242.76 and 585.12 is: 807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.41 : 1,242.76 = 585.12 : x
  2. Step 2: Convert to fraction form
    900.41/1,242.76 = 585.12/x
  3. Step 3: Cross multiply
    900.41x = 1,242.76 × 585.12
  4. Step 4: Simplify right side
    900.41x = 727,171.19
  5. Step 5: Solve for x
    x = 727,171.19/900.41
  6. Step 6: Final answer
    x = 807.60

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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.