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Finding the Fourth Proportional to 704.64, 1,052.40 and 602.16

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Solution

The fourth proportional to 704.64, 1,052.40 and 602.16 is: 899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.64 : 1,052.40 = 602.16 : x
  2. Step 2: Convert to fraction form
    704.64/1,052.40 = 602.16/x
  3. Step 3: Cross multiply
    704.64x = 1,052.40 × 602.16
  4. Step 4: Simplify right side
    704.64x = 633,713.18
  5. Step 5: Solve for x
    x = 633,713.18/704.64
  6. Step 6: Final answer
    x = 899.34

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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.