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Finding the Fourth Proportional to 1,117.54, 1,541.55 and 692.33

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Solution

The fourth proportional to 1,117.54, 1,541.55 and 692.33 is: 955.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.54 : 1,541.55 = 692.33 : x
  2. Step 2: Convert to fraction form
    1,117.54/1,541.55 = 692.33/x
  3. Step 3: Cross multiply
    1,117.54x = 1,541.55 × 692.33
  4. Step 4: Simplify right side
    1,117.54x = 1,067,261.31
  5. Step 5: Solve for x
    x = 1,067,261.31/1,117.54
  6. Step 6: Final answer
    x = 955.01

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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.