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Finding the Fourth Proportional to 1,030.34, 1,421.49 and 676.70

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Solution

The fourth proportional to 1,030.34, 1,421.49 and 676.70 is: 933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.34 : 1,421.49 = 676.70 : x
  2. Step 2: Convert to fraction form
    1,030.34/1,421.49 = 676.70/x
  3. Step 3: Cross multiply
    1,030.34x = 1,421.49 × 676.70
  4. Step 4: Simplify right side
    1,030.34x = 961,922.28
  5. Step 5: Solve for x
    x = 961,922.28/1,030.34
  6. Step 6: Final answer
    x = 933.60

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1.5x scale

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.