Home / 1,030.14-1,421.55-564.36

Finding the Fourth Proportional to 1,030.14, 1,421.55 and 564.36

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Solution

The fourth proportional to 1,030.14, 1,421.55 and 564.36 is: 778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.14 : 1,421.55 = 564.36 : x
  2. Step 2: Convert to fraction form
    1,030.14/1,421.55 = 564.36/x
  3. Step 3: Cross multiply
    1,030.14x = 1,421.55 × 564.36
  4. Step 4: Simplify right side
    1,030.14x = 802,265.96
  5. Step 5: Solve for x
    x = 802,265.96/1,030.14
  6. Step 6: Final answer
    x = 778.79

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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.