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Finding the Fourth Proportional to 677.30, 901.40 and 677.30

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Solution

The fourth proportional to 677.30, 901.40 and 677.30 is: 901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.30 : 901.40 = 677.30 : x
  2. Step 2: Convert to fraction form
    677.30/901.40 = 677.30/x
  3. Step 3: Cross multiply
    677.30x = 901.40 × 677.30
  4. Step 4: Simplify right side
    677.30x = 610,518.22
  5. Step 5: Solve for x
    x = 610,518.22/677.30
  6. Step 6: Final answer
    x = 901.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.