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Finding the Fourth Proportional to 945.05, 1,303.32 and 646.16

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Solution

The fourth proportional to 945.05, 1,303.32 and 646.16 is: 891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.05 : 1,303.32 = 646.16 : x
  2. Step 2: Convert to fraction form
    945.05/1,303.32 = 646.16/x
  3. Step 3: Cross multiply
    945.05x = 1,303.32 × 646.16
  4. Step 4: Simplify right side
    945.05x = 842,153.25
  5. Step 5: Solve for x
    x = 842,153.25/945.05
  6. Step 6: Final answer
    x = 891.12

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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.