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Finding the Fourth Proportional to 758.15, 1,045.98 and 496.32

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Solution

The fourth proportional to 758.15, 1,045.98 and 496.32 is: 684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.15 : 1,045.98 = 496.32 : x
  2. Step 2: Convert to fraction form
    758.15/1,045.98 = 496.32/x
  3. Step 3: Cross multiply
    758.15x = 1,045.98 × 496.32
  4. Step 4: Simplify right side
    758.15x = 519,133.08
  5. Step 5: Solve for x
    x = 519,133.08/758.15
  6. Step 6: Final answer
    x = 684.74

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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.