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Finding the Fourth Proportional to 595.66, 821.90 and 430.42

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Solution

The fourth proportional to 595.66, 821.90 and 430.42 is: 593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.66 : 821.90 = 430.42 : x
  2. Step 2: Convert to fraction form
    595.66/821.90 = 430.42/x
  3. Step 3: Cross multiply
    595.66x = 821.90 × 430.42
  4. Step 4: Simplify right side
    595.66x = 353,762.20
  5. Step 5: Solve for x
    x = 353,762.20/595.66
  6. Step 6: Final answer
    x = 593.90

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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.