Home / 1,030.14-1,421.61-564.39

Finding the Fourth Proportional to 1,030.14, 1,421.61 and 564.39

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Solution

The fourth proportional to 1,030.14, 1,421.61 and 564.39 is: 778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.14 : 1,421.61 = 564.39 : x
  2. Step 2: Convert to fraction form
    1,030.14/1,421.61 = 564.39/x
  3. Step 3: Cross multiply
    1,030.14x = 1,421.61 × 564.39
  4. Step 4: Simplify right side
    1,030.14x = 802,342.47
  5. Step 5: Solve for x
    x = 802,342.47/1,030.14
  6. Step 6: Final answer
    x = 778.87

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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.