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Finding the Fourth Proportional to 707.76, 975.72 and 486.30

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Solution

The fourth proportional to 707.76, 975.72 and 486.30 is: 670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.76 : 975.72 = 486.30 : x
  2. Step 2: Convert to fraction form
    707.76/975.72 = 486.30/x
  3. Step 3: Cross multiply
    707.76x = 975.72 × 486.30
  4. Step 4: Simplify right side
    707.76x = 474,492.64
  5. Step 5: Solve for x
    x = 474,492.64/707.76
  6. Step 6: Final answer
    x = 670.41

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1.5x scale

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.