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Finding the Fourth Proportional to 608.64, 841.80 and 543.06

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Solution

The fourth proportional to 608.64, 841.80 and 543.06 is: 751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.64 : 841.80 = 543.06 : x
  2. Step 2: Convert to fraction form
    608.64/841.80 = 543.06/x
  3. Step 3: Cross multiply
    608.64x = 841.80 × 543.06
  4. Step 4: Simplify right side
    608.64x = 457,147.91
  5. Step 5: Solve for x
    x = 457,147.91/608.64
  6. Step 6: Final answer
    x = 751.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.