Home / 1,030.34-1,423.10-698.20

Finding the Fourth Proportional to 1,030.34, 1,423.10 and 698.20

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Solution

The fourth proportional to 1,030.34, 1,423.10 and 698.20 is: 964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.34 : 1,423.10 = 698.20 : x
  2. Step 2: Convert to fraction form
    1,030.34/1,423.10 = 698.20/x
  3. Step 3: Cross multiply
    1,030.34x = 1,423.10 × 698.20
  4. Step 4: Simplify right side
    1,030.34x = 993,608.42
  5. Step 5: Solve for x
    x = 993,608.42/1,030.34
  6. Step 6: Final answer
    x = 964.35

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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.