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Finding the Fourth Proportional to 675.32, 1,007.69 and 587.84

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Solution

The fourth proportional to 675.32, 1,007.69 and 587.84 is: 877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.32 : 1,007.69 = 587.84 : x
  2. Step 2: Convert to fraction form
    675.32/1,007.69 = 587.84/x
  3. Step 3: Cross multiply
    675.32x = 1,007.69 × 587.84
  4. Step 4: Simplify right side
    675.32x = 592,352.51
  5. Step 5: Solve for x
    x = 592,352.51/675.32
  6. Step 6: Final answer
    x = 877.15

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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.