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Finding the Fourth Proportional to 509.70, 707.01 and 473.22

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Solution

The fourth proportional to 509.70, 707.01 and 473.22 is: 656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.70 : 707.01 = 473.22 : x
  2. Step 2: Convert to fraction form
    509.70/707.01 = 473.22/x
  3. Step 3: Cross multiply
    509.70x = 707.01 × 473.22
  4. Step 4: Simplify right side
    509.70x = 334,571.27
  5. Step 5: Solve for x
    x = 334,571.27/509.70
  6. Step 6: Final answer
    x = 656.41

Related Problems

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Double scale
Find fourth proportional to 510.70, 708.40 and 474.22
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.