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Finding the Fourth Proportional to 510.25, 703.20 and 471.04

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Solution

The fourth proportional to 510.25, 703.20 and 471.04 is: 649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.25 : 703.20 = 471.04 : x
  2. Step 2: Convert to fraction form
    510.25/703.20 = 471.04/x
  3. Step 3: Cross multiply
    510.25x = 703.20 × 471.04
  4. Step 4: Simplify right side
    510.25x = 331,235.33
  5. Step 5: Solve for x
    x = 331,235.33/510.25
  6. Step 6: Final answer
    x = 649.16

Related Problems

Find fourth proportional to 255.13, 351.60 and 235.52
Half scale
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Double scale
Find fourth proportional to 511.25, 704.58 and 472.04
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.