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Finding the Fourth Proportional to 775.84, 1,070.63 and 476.98

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Solution

The fourth proportional to 775.84, 1,070.63 and 476.98 is: 658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.84 : 1,070.63 = 476.98 : x
  2. Step 2: Convert to fraction form
    775.84/1,070.63 = 476.98/x
  3. Step 3: Cross multiply
    775.84x = 1,070.63 × 476.98
  4. Step 4: Simplify right side
    775.84x = 510,669.10
  5. Step 5: Solve for x
    x = 510,669.10/775.84
  6. Step 6: Final answer
    x = 658.21

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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.