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Finding the Fourth Proportional to 975.47, 1,347.62 and 640.16

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Solution

The fourth proportional to 975.47, 1,347.62 and 640.16 is: 884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.47 : 1,347.62 = 640.16 : x
  2. Step 2: Convert to fraction form
    975.47/1,347.62 = 640.16/x
  3. Step 3: Cross multiply
    975.47x = 1,347.62 × 640.16
  4. Step 4: Simplify right side
    975.47x = 862,692.59
  5. Step 5: Solve for x
    x = 862,692.59/975.47
  6. Step 6: Final answer
    x = 884.38

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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.