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Finding the Fourth Proportional to 652.50, 899.64 and 431.10

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Solution

The fourth proportional to 652.50, 899.64 and 431.10 is: 594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.50 : 899.64 = 431.10 : x
  2. Step 2: Convert to fraction form
    652.50/899.64 = 431.10/x
  3. Step 3: Cross multiply
    652.50x = 899.64 × 431.10
  4. Step 4: Simplify right side
    652.50x = 387,834.80
  5. Step 5: Solve for x
    x = 387,834.80/652.50
  6. Step 6: Final answer
    x = 594.38

Related Problems

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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.