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Finding the Fourth Proportional to 912.75, 1,258.13 and 617.50

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Solution

The fourth proportional to 912.75, 1,258.13 and 617.50 is: 851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.75 : 1,258.13 = 617.50 : x
  2. Step 2: Convert to fraction form
    912.75/1,258.13 = 617.50/x
  3. Step 3: Cross multiply
    912.75x = 1,258.13 × 617.50
  4. Step 4: Simplify right side
    912.75x = 776,895.28
  5. Step 5: Solve for x
    x = 776,895.28/912.75
  6. Step 6: Final answer
    x = 851.16

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Find fourth proportional to 456.38, 629.07 and 308.75
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.