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Finding the Fourth Proportional to 1,109.79, 1,656.24 and 986.77

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Solution

The fourth proportional to 1,109.79, 1,656.24 and 986.77 is: 1,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.79 : 1,656.24 = 986.77 : x
  2. Step 2: Convert to fraction form
    1,109.79/1,656.24 = 986.77/x
  3. Step 3: Cross multiply
    1,109.79x = 1,656.24 × 986.77
  4. Step 4: Simplify right side
    1,109.79x = 1,634,327.94
  5. Step 5: Solve for x
    x = 1,634,327.94/1,109.79
  6. Step 6: Final answer
    x = 1,472.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.