Home / 1,030.18-1,421.64-564.43

Finding the Fourth Proportional to 1,030.18, 1,421.64 and 564.43

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Solution

The fourth proportional to 1,030.18, 1,421.64 and 564.43 is: 778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.18 : 1,421.64 = 564.43 : x
  2. Step 2: Convert to fraction form
    1,030.18/1,421.64 = 564.43/x
  3. Step 3: Cross multiply
    1,030.18x = 1,421.64 × 564.43
  4. Step 4: Simplify right side
    1,030.18x = 802,416.27
  5. Step 5: Solve for x
    x = 802,416.27/1,030.18
  6. Step 6: Final answer
    x = 778.91

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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.