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Finding the Fourth Proportional to 1,014.90, 1,400.43 and 572.77

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Solution

The fourth proportional to 1,014.90, 1,400.43 and 572.77 is: 790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.90 : 1,400.43 = 572.77 : x
  2. Step 2: Convert to fraction form
    1,014.90/1,400.43 = 572.77/x
  3. Step 3: Cross multiply
    1,014.90x = 1,400.43 × 572.77
  4. Step 4: Simplify right side
    1,014.90x = 802,124.29
  5. Step 5: Solve for x
    x = 802,124.29/1,014.90
  6. Step 6: Final answer
    x = 790.35

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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.