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Finding the Fourth Proportional to 597.53, 900.37 and 491.69

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Solution

The fourth proportional to 597.53, 900.37 and 491.69 is: 740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.53 : 900.37 = 491.69 : x
  2. Step 2: Convert to fraction form
    597.53/900.37 = 491.69/x
  3. Step 3: Cross multiply
    597.53x = 900.37 × 491.69
  4. Step 4: Simplify right side
    597.53x = 442,702.93
  5. Step 5: Solve for x
    x = 442,702.93/597.53
  6. Step 6: Final answer
    x = 740.89

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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.