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Finding the Fourth Proportional to 734.64, 1,011.60 and 652.08

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Solution

The fourth proportional to 734.64, 1,011.60 and 652.08 is: 897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.64 : 1,011.60 = 652.08 : x
  2. Step 2: Convert to fraction form
    734.64/1,011.60 = 652.08/x
  3. Step 3: Cross multiply
    734.64x = 1,011.60 × 652.08
  4. Step 4: Simplify right side
    734.64x = 659,644.13
  5. Step 5: Solve for x
    x = 659,644.13/734.64
  6. Step 6: Final answer
    x = 897.91

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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.