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Finding the Fourth Proportional to 1,075.79, 1,612.44 and 497.45

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Solution

The fourth proportional to 1,075.79, 1,612.44 and 497.45 is: 745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.79 : 1,612.44 = 497.45 : x
  2. Step 2: Convert to fraction form
    1,075.79/1,612.44 = 497.45/x
  3. Step 3: Cross multiply
    1,075.79x = 1,612.44 × 497.45
  4. Step 4: Simplify right side
    1,075.79x = 802,108.28
  5. Step 5: Solve for x
    x = 802,108.28/1,075.79
  6. Step 6: Final answer
    x = 745.60

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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.