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Finding the Fourth Proportional to 758.61, 1,046.93 and 706.77

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Solution

The fourth proportional to 758.61, 1,046.93 and 706.77 is: 975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.61 : 1,046.93 = 706.77 : x
  2. Step 2: Convert to fraction form
    758.61/1,046.93 = 706.77/x
  3. Step 3: Cross multiply
    758.61x = 1,046.93 × 706.77
  4. Step 4: Simplify right side
    758.61x = 739,935.18
  5. Step 5: Solve for x
    x = 739,935.18/758.61
  6. Step 6: Final answer
    x = 975.38

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1.5x scale

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.