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Finding the Fourth Proportional to 740.61, 1,022.31 and 505.77

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Solution

The fourth proportional to 740.61, 1,022.31 and 505.77 is: 698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.61 : 1,022.31 = 505.77 : x
  2. Step 2: Convert to fraction form
    740.61/1,022.31 = 505.77/x
  3. Step 3: Cross multiply
    740.61x = 1,022.31 × 505.77
  4. Step 4: Simplify right side
    740.61x = 517,053.73
  5. Step 5: Solve for x
    x = 517,053.73/740.61
  6. Step 6: Final answer
    x = 698.15

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1.5x scale

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.