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Finding the Fourth Proportional to 510.75, 703.89 and 471.54

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Solution

The fourth proportional to 510.75, 703.89 and 471.54 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 703.89 = 471.54 : x
  2. Step 2: Convert to fraction form
    510.75/703.89 = 471.54/x
  3. Step 3: Cross multiply
    510.75x = 703.89 × 471.54
  4. Step 4: Simplify right side
    510.75x = 331,912.29
  5. Step 5: Solve for x
    x = 331,912.29/510.75
  6. Step 6: Final answer
    x = 649.85

Related Problems

Find fourth proportional to 255.38, 351.95 and 235.77
Half scale
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Double scale
Find fourth proportional to 511.75, 705.27 and 472.54
Similar ratio
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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.