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Finding the Fourth Proportional to 677.10, 1,010.68 and 619.40

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Solution

The fourth proportional to 677.10, 1,010.68 and 619.40 is: 924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.10 : 1,010.68 = 619.40 : x
  2. Step 2: Convert to fraction form
    677.10/1,010.68 = 619.40/x
  3. Step 3: Cross multiply
    677.10x = 1,010.68 × 619.40
  4. Step 4: Simplify right side
    677.10x = 626,015.19
  5. Step 5: Solve for x
    x = 626,015.19/677.10
  6. Step 6: Final answer
    x = 924.55

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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.