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Finding the Fourth Proportional to 715.64, 1,068.64 and 612.80

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Solution

The fourth proportional to 715.64, 1,068.64 and 612.80 is: 915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.64 : 1,068.64 = 612.80 : x
  2. Step 2: Convert to fraction form
    715.64/1,068.64 = 612.80/x
  3. Step 3: Cross multiply
    715.64x = 1,068.64 × 612.80
  4. Step 4: Simplify right side
    715.64x = 654,862.59
  5. Step 5: Solve for x
    x = 654,862.59/715.64
  6. Step 6: Final answer
    x = 915.07

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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.