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Finding the Fourth Proportional to 776.32, 1,070.40 and 540.28

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Solution

The fourth proportional to 776.32, 1,070.40 and 540.28 is: 744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.32 : 1,070.40 = 540.28 : x
  2. Step 2: Convert to fraction form
    776.32/1,070.40 = 540.28/x
  3. Step 3: Cross multiply
    776.32x = 1,070.40 × 540.28
  4. Step 4: Simplify right side
    776.32x = 578,315.71
  5. Step 5: Solve for x
    x = 578,315.71/776.32
  6. Step 6: Final answer
    x = 744.95

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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.