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Finding the Fourth Proportional to 919.64, 1,269.16 and 570.52

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Solution

The fourth proportional to 919.64, 1,269.16 and 570.52 is: 787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.64 : 1,269.16 = 570.52 : x
  2. Step 2: Convert to fraction form
    919.64/1,269.16 = 570.52/x
  3. Step 3: Cross multiply
    919.64x = 1,269.16 × 570.52
  4. Step 4: Simplify right side
    919.64x = 724,081.16
  5. Step 5: Solve for x
    x = 724,081.16/919.64
  6. Step 6: Final answer
    x = 787.35

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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.