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Finding the Fourth Proportional to 955.94, 1,432.95 and 647.83

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Solution

The fourth proportional to 955.94, 1,432.95 and 647.83 is: 971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.94 : 1,432.95 = 647.83 : x
  2. Step 2: Convert to fraction form
    955.94/1,432.95 = 647.83/x
  3. Step 3: Cross multiply
    955.94x = 1,432.95 × 647.83
  4. Step 4: Simplify right side
    955.94x = 928,300.64
  5. Step 5: Solve for x
    x = 928,300.64/955.94
  6. Step 6: Final answer
    x = 971.08

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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.