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Finding the Fourth Proportional to 945.54, 1,303.56 and 706.05

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Solution

The fourth proportional to 945.54, 1,303.56 and 706.05 is: 973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.54 : 1,303.56 = 706.05 : x
  2. Step 2: Convert to fraction form
    945.54/1,303.56 = 706.05/x
  3. Step 3: Cross multiply
    945.54x = 1,303.56 × 706.05
  4. Step 4: Simplify right side
    945.54x = 920,378.54
  5. Step 5: Solve for x
    x = 920,378.54/945.54
  6. Step 6: Final answer
    x = 973.39

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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.