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Finding the Fourth Proportional to 710.16, 1,060.16 and 678.64

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Solution

The fourth proportional to 710.16, 1,060.16 and 678.64 is: 1,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.16 : 1,060.16 = 678.64 : x
  2. Step 2: Convert to fraction form
    710.16/1,060.16 = 678.64/x
  3. Step 3: Cross multiply
    710.16x = 1,060.16 × 678.64
  4. Step 4: Simplify right side
    710.16x = 719,466.98
  5. Step 5: Solve for x
    x = 719,466.98/710.16
  6. Step 6: Final answer
    x = 1,013.11

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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.