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Finding the Fourth Proportional to 677.24, 1,009.94 and 652.94

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Solution

The fourth proportional to 677.24, 1,009.94 and 652.94 is: 973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.24 : 1,009.94 = 652.94 : x
  2. Step 2: Convert to fraction form
    677.24/1,009.94 = 652.94/x
  3. Step 3: Cross multiply
    677.24x = 1,009.94 × 652.94
  4. Step 4: Simplify right side
    677.24x = 659,430.22
  5. Step 5: Solve for x
    x = 659,430.22/677.24
  6. Step 6: Final answer
    x = 973.70

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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.