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Finding the Fourth Proportional to 941.02, 1,417.87 and 780.06

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Solution

The fourth proportional to 941.02, 1,417.87 and 780.06 is: 1,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.02 : 1,417.87 = 780.06 : x
  2. Step 2: Convert to fraction form
    941.02/1,417.87 = 780.06/x
  3. Step 3: Cross multiply
    941.02x = 1,417.87 × 780.06
  4. Step 4: Simplify right side
    941.02x = 1,106,023.67
  5. Step 5: Solve for x
    x = 1,106,023.67/941.02
  6. Step 6: Final answer
    x = 1,175.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.