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Finding the Fourth Proportional to 760.95, 1,050.23 and 574.65

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Solution

The fourth proportional to 760.95, 1,050.23 and 574.65 is: 793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.95 : 1,050.23 = 574.65 : x
  2. Step 2: Convert to fraction form
    760.95/1,050.23 = 574.65/x
  3. Step 3: Cross multiply
    760.95x = 1,050.23 × 574.65
  4. Step 4: Simplify right side
    760.95x = 603,514.67
  5. Step 5: Solve for x
    x = 603,514.67/760.95
  6. Step 6: Final answer
    x = 793.11

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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.