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Finding the Fourth Proportional to 774.03, 1,066.94 and 586.77

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Solution

The fourth proportional to 774.03, 1,066.94 and 586.77 is: 808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.03 : 1,066.94 = 586.77 : x
  2. Step 2: Convert to fraction form
    774.03/1,066.94 = 586.77/x
  3. Step 3: Cross multiply
    774.03x = 1,066.94 × 586.77
  4. Step 4: Simplify right side
    774.03x = 626,048.38
  5. Step 5: Solve for x
    x = 626,048.38/774.03
  6. Step 6: Final answer
    x = 808.82

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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.