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Finding the Fourth Proportional to 991.07, 1,485.72 and 557.31

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Solution

The fourth proportional to 991.07, 1,485.72 and 557.31 is: 835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.07 : 1,485.72 = 557.31 : x
  2. Step 2: Convert to fraction form
    991.07/1,485.72 = 557.31/x
  3. Step 3: Cross multiply
    991.07x = 1,485.72 × 557.31
  4. Step 4: Simplify right side
    991.07x = 828,006.61
  5. Step 5: Solve for x
    x = 828,006.61/991.07
  6. Step 6: Final answer
    x = 835.47

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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.