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Finding the Fourth Proportional to 1,065.16, 1,596.64 and 603.16

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Solution

The fourth proportional to 1,065.16, 1,596.64 and 603.16 is: 904.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.16 : 1,596.64 = 603.16 : x
  2. Step 2: Convert to fraction form
    1,065.16/1,596.64 = 603.16/x
  3. Step 3: Cross multiply
    1,065.16x = 1,596.64 × 603.16
  4. Step 4: Simplify right side
    1,065.16x = 963,029.38
  5. Step 5: Solve for x
    x = 963,029.38/1,065.16
  6. Step 6: Final answer
    x = 904.12

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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.