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Finding the Fourth Proportional to 785.42, 1,070.36 and 782.54

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Solution

The fourth proportional to 785.42, 1,070.36 and 782.54 is: 1,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.42 : 1,070.36 = 782.54 : x
  2. Step 2: Convert to fraction form
    785.42/1,070.36 = 782.54/x
  3. Step 3: Cross multiply
    785.42x = 1,070.36 × 782.54
  4. Step 4: Simplify right side
    785.42x = 837,599.51
  5. Step 5: Solve for x
    x = 837,599.51/785.42
  6. Step 6: Final answer
    x = 1,066.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.