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Finding the Fourth Proportional to 699.60, 964.76 and 510.36

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Solution

The fourth proportional to 699.60, 964.76 and 510.36 is: 703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.60 : 964.76 = 510.36 : x
  2. Step 2: Convert to fraction form
    699.60/964.76 = 510.36/x
  3. Step 3: Cross multiply
    699.60x = 964.76 × 510.36
  4. Step 4: Simplify right side
    699.60x = 492,374.91
  5. Step 5: Solve for x
    x = 492,374.91/699.60
  6. Step 6: Final answer
    x = 703.79

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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.