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Finding the Fourth Proportional to 945.40, 1,417.20 and 848.20

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Solution

The fourth proportional to 945.40, 1,417.20 and 848.20 is: 1,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.40 : 1,417.20 = 848.20 : x
  2. Step 2: Convert to fraction form
    945.40/1,417.20 = 848.20/x
  3. Step 3: Cross multiply
    945.40x = 1,417.20 × 848.20
  4. Step 4: Simplify right side
    945.40x = 1,202,069.04
  5. Step 5: Solve for x
    x = 1,202,069.04/945.40
  6. Step 6: Final answer
    x = 1,271.49

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Double scale
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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.