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Finding the Fourth Proportional to 880.61, 1,315.13 and 707.54

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Solution

The fourth proportional to 880.61, 1,315.13 and 707.54 is: 1,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.61 : 1,315.13 = 707.54 : x
  2. Step 2: Convert to fraction form
    880.61/1,315.13 = 707.54/x
  3. Step 3: Cross multiply
    880.61x = 1,315.13 × 707.54
  4. Step 4: Simplify right side
    880.61x = 930,496.97
  5. Step 5: Solve for x
    x = 930,496.97/880.61
  6. Step 6: Final answer
    x = 1,056.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.