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Finding the Fourth Proportional to 775.40, 1,070.50 and 554.92

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Solution

The fourth proportional to 775.40, 1,070.50 and 554.92 is: 766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.40 : 1,070.50 = 554.92 : x
  2. Step 2: Convert to fraction form
    775.40/1,070.50 = 554.92/x
  3. Step 3: Cross multiply
    775.40x = 1,070.50 × 554.92
  4. Step 4: Simplify right side
    775.40x = 594,041.86
  5. Step 5: Solve for x
    x = 594,041.86/775.40
  6. Step 6: Final answer
    x = 766.11

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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.