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Finding the Fourth Proportional to 1,130.51, 1,556.40 and 963.75

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Solution

The fourth proportional to 1,130.51, 1,556.40 and 963.75 is: 1,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.51 : 1,556.40 = 963.75 : x
  2. Step 2: Convert to fraction form
    1,130.51/1,556.40 = 963.75/x
  3. Step 3: Cross multiply
    1,130.51x = 1,556.40 × 963.75
  4. Step 4: Simplify right side
    1,130.51x = 1,499,980.50
  5. Step 5: Solve for x
    x = 1,499,980.50/1,130.51
  6. Step 6: Final answer
    x = 1,326.82

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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.