Home / 1,030.21-1,421.72-564.46

Finding the Fourth Proportional to 1,030.21, 1,421.72 and 564.46

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Solution

The fourth proportional to 1,030.21, 1,421.72 and 564.46 is: 778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.21 : 1,421.72 = 564.46 : x
  2. Step 2: Convert to fraction form
    1,030.21/1,421.72 = 564.46/x
  3. Step 3: Cross multiply
    1,030.21x = 1,421.72 × 564.46
  4. Step 4: Simplify right side
    1,030.21x = 802,504.07
  5. Step 5: Solve for x
    x = 802,504.07/1,030.21
  6. Step 6: Final answer
    x = 778.97

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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.