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Finding the Fourth Proportional to 1,065.02, 1,469.62 and 592.89

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Solution

The fourth proportional to 1,065.02, 1,469.62 and 592.89 is: 818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.02 : 1,469.62 = 592.89 : x
  2. Step 2: Convert to fraction form
    1,065.02/1,469.62 = 592.89/x
  3. Step 3: Cross multiply
    1,065.02x = 1,469.62 × 592.89
  4. Step 4: Simplify right side
    1,065.02x = 871,323.00
  5. Step 5: Solve for x
    x = 871,323.00/1,065.02
  6. Step 6: Final answer
    x = 818.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.