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Finding the Fourth Proportional to 677.58, 1,009.58 and 604.82

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Solution

The fourth proportional to 677.58, 1,009.58 and 604.82 is: 901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.58 : 1,009.58 = 604.82 : x
  2. Step 2: Convert to fraction form
    677.58/1,009.58 = 604.82/x
  3. Step 3: Cross multiply
    677.58x = 1,009.58 × 604.82
  4. Step 4: Simplify right side
    677.58x = 610,606.10
  5. Step 5: Solve for x
    x = 610,606.10/677.58
  6. Step 6: Final answer
    x = 901.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.