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Finding the Fourth Proportional to 677.32, 1,010.66 and 589.84

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Solution

The fourth proportional to 677.32, 1,010.66 and 589.84 is: 880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.32 : 1,010.66 = 589.84 : x
  2. Step 2: Convert to fraction form
    677.32/1,010.66 = 589.84/x
  3. Step 3: Cross multiply
    677.32x = 1,010.66 × 589.84
  4. Step 4: Simplify right side
    677.32x = 596,127.69
  5. Step 5: Solve for x
    x = 596,127.69/677.32
  6. Step 6: Final answer
    x = 880.13

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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.