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Finding the Fourth Proportional to 595.10, 887.76 and 578.34

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Solution

The fourth proportional to 595.10, 887.76 and 578.34 is: 862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.10 : 887.76 = 578.34 : x
  2. Step 2: Convert to fraction form
    595.10/887.76 = 578.34/x
  3. Step 3: Cross multiply
    595.10x = 887.76 × 578.34
  4. Step 4: Simplify right side
    595.10x = 513,429.29
  5. Step 5: Solve for x
    x = 513,429.29/595.10
  6. Step 6: Final answer
    x = 862.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.