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Finding the Fourth Proportional to 653.02, 898.95 and 505.37

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Solution

The fourth proportional to 653.02, 898.95 and 505.37 is: 695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.02 : 898.95 = 505.37 : x
  2. Step 2: Convert to fraction form
    653.02/898.95 = 505.37/x
  3. Step 3: Cross multiply
    653.02x = 898.95 × 505.37
  4. Step 4: Simplify right side
    653.02x = 454,302.36
  5. Step 5: Solve for x
    x = 454,302.36/653.02
  6. Step 6: Final answer
    x = 695.69

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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.