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Finding the Fourth Proportional to 697.61, 1,045.28 and 368.53

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Solution

The fourth proportional to 697.61, 1,045.28 and 368.53 is: 552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.61 : 1,045.28 = 368.53 : x
  2. Step 2: Convert to fraction form
    697.61/1,045.28 = 368.53/x
  3. Step 3: Cross multiply
    697.61x = 1,045.28 × 368.53
  4. Step 4: Simplify right side
    697.61x = 385,212.58
  5. Step 5: Solve for x
    x = 385,212.58/697.61
  6. Step 6: Final answer
    x = 552.19

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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.