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Finding the Fourth Proportional to 1,188.02, 1,782.46 and 530.36

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Solution

The fourth proportional to 1,188.02, 1,782.46 and 530.36 is: 795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.02 : 1,782.46 = 530.36 : x
  2. Step 2: Convert to fraction form
    1,188.02/1,782.46 = 530.36/x
  3. Step 3: Cross multiply
    1,188.02x = 1,782.46 × 530.36
  4. Step 4: Simplify right side
    1,188.02x = 945,345.49
  5. Step 5: Solve for x
    x = 945,345.49/1,188.02
  6. Step 6: Final answer
    x = 795.73

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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.