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Finding the Fourth Proportional to 904.93, 1,247.28 and 780.10

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Solution

The fourth proportional to 904.93, 1,247.28 and 780.10 is: 1,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.93 : 1,247.28 = 780.10 : x
  2. Step 2: Convert to fraction form
    904.93/1,247.28 = 780.10/x
  3. Step 3: Cross multiply
    904.93x = 1,247.28 × 780.10
  4. Step 4: Simplify right side
    904.93x = 973,003.13
  5. Step 5: Solve for x
    x = 973,003.13/904.93
  6. Step 6: Final answer
    x = 1,075.22

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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.