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Finding the Fourth Proportional to 697.46, 1,045.58 and 543.15

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Solution

The fourth proportional to 697.46, 1,045.58 and 543.15 is: 814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.46 : 1,045.58 = 543.15 : x
  2. Step 2: Convert to fraction form
    697.46/1,045.58 = 543.15/x
  3. Step 3: Cross multiply
    697.46x = 1,045.58 × 543.15
  4. Step 4: Simplify right side
    697.46x = 567,904.06
  5. Step 5: Solve for x
    x = 567,904.06/697.46
  6. Step 6: Final answer
    x = 814.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.