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Finding the Fourth Proportional to 1,117.58, 1,540.54 and 785.06

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Solution

The fourth proportional to 1,117.58, 1,540.54 and 785.06 is: 1,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.58 : 1,540.54 = 785.06 : x
  2. Step 2: Convert to fraction form
    1,117.58/1,540.54 = 785.06/x
  3. Step 3: Cross multiply
    1,117.58x = 1,540.54 × 785.06
  4. Step 4: Simplify right side
    1,117.58x = 1,209,416.33
  5. Step 5: Solve for x
    x = 1,209,416.33/1,117.58
  6. Step 6: Final answer
    x = 1,082.17

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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.