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Finding the Fourth Proportional to 603.76, 899.70 and 584.16

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Solution

The fourth proportional to 603.76, 899.70 and 584.16 is: 870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.76 : 899.70 = 584.16 : x
  2. Step 2: Convert to fraction form
    603.76/899.70 = 584.16/x
  3. Step 3: Cross multiply
    603.76x = 899.70 × 584.16
  4. Step 4: Simplify right side
    603.76x = 525,568.75
  5. Step 5: Solve for x
    x = 525,568.75/603.76
  6. Step 6: Final answer
    x = 870.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.