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Finding the Fourth Proportional to 774.42, 1,070.08 and 676.02

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Solution

The fourth proportional to 774.42, 1,070.08 and 676.02 is: 934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.42 : 1,070.08 = 676.02 : x
  2. Step 2: Convert to fraction form
    774.42/1,070.08 = 676.02/x
  3. Step 3: Cross multiply
    774.42x = 1,070.08 × 676.02
  4. Step 4: Simplify right side
    774.42x = 723,395.48
  5. Step 5: Solve for x
    x = 723,395.48/774.42
  6. Step 6: Final answer
    x = 934.11

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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.