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Finding the Fourth Proportional to 707.60, 977.82 and 532.64

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Solution

The fourth proportional to 707.60, 977.82 and 532.64 is: 736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.60 : 977.82 = 532.64 : x
  2. Step 2: Convert to fraction form
    707.60/977.82 = 532.64/x
  3. Step 3: Cross multiply
    707.60x = 977.82 × 532.64
  4. Step 4: Simplify right side
    707.60x = 520,826.04
  5. Step 5: Solve for x
    x = 520,826.04/707.60
  6. Step 6: Final answer
    x = 736.05

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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.