Home / 1,030.28-1,421.80-564.54

Finding the Fourth Proportional to 1,030.28, 1,421.80 and 564.54

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Solution

The fourth proportional to 1,030.28, 1,421.80 and 564.54 is: 779.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.28 : 1,421.80 = 564.54 : x
  2. Step 2: Convert to fraction form
    1,030.28/1,421.80 = 564.54/x
  3. Step 3: Cross multiply
    1,030.28x = 1,421.80 × 564.54
  4. Step 4: Simplify right side
    1,030.28x = 802,662.97
  5. Step 5: Solve for x
    x = 802,662.97/1,030.28
  6. Step 6: Final answer
    x = 779.07

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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.