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Finding the Fourth Proportional to 530.64, 731.64 and 419.76

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Solution

The fourth proportional to 530.64, 731.64 and 419.76 is: 578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.64 : 731.64 = 419.76 : x
  2. Step 2: Convert to fraction form
    530.64/731.64 = 419.76/x
  3. Step 3: Cross multiply
    530.64x = 731.64 × 419.76
  4. Step 4: Simplify right side
    530.64x = 307,113.21
  5. Step 5: Solve for x
    x = 307,113.21/530.64
  6. Step 6: Final answer
    x = 578.76

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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.