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Finding the Fourth Proportional to 653.18, 977.30 and 458.55

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Solution

The fourth proportional to 653.18, 977.30 and 458.55 is: 686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.18 : 977.30 = 458.55 : x
  2. Step 2: Convert to fraction form
    653.18/977.30 = 458.55/x
  3. Step 3: Cross multiply
    653.18x = 977.30 × 458.55
  4. Step 4: Simplify right side
    653.18x = 448,140.92
  5. Step 5: Solve for x
    x = 448,140.92/653.18
  6. Step 6: Final answer
    x = 686.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.