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Finding the Fourth Proportional to 666.76, 1,003.88 and 590.16

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Solution

The fourth proportional to 666.76, 1,003.88 and 590.16 is: 888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.76 : 1,003.88 = 590.16 : x
  2. Step 2: Convert to fraction form
    666.76/1,003.88 = 590.16/x
  3. Step 3: Cross multiply
    666.76x = 1,003.88 × 590.16
  4. Step 4: Simplify right side
    666.76x = 592,449.82
  5. Step 5: Solve for x
    x = 592,449.82/666.76
  6. Step 6: Final answer
    x = 888.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.