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Finding the Fourth Proportional to 653.43, 902.09 and 432.75

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Solution

The fourth proportional to 653.43, 902.09 and 432.75 is: 597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.43 : 902.09 = 432.75 : x
  2. Step 2: Convert to fraction form
    653.43/902.09 = 432.75/x
  3. Step 3: Cross multiply
    653.43x = 902.09 × 432.75
  4. Step 4: Simplify right side
    653.43x = 390,377.28
  5. Step 5: Solve for x
    x = 390,377.28/653.43
  6. Step 6: Final answer
    x = 597.43

Related Problems

Find fourth proportional to 326.72, 451.04 and 216.38
Half scale
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Double scale
Find fourth proportional to 654.43, 903.47 and 433.75
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.